A food store makes a 12-lb mixture of granola, clusters, and raisins. The cost of granola is $1.00 per pound, clusters cost $3.00 per pound, and raisins cost $2.00 per pound. The mixture calls for twice as much granola as clusters. The total cost of the mixture is $21.00. How much of each ingredient did the store use?

Answers

Answer 1

Answer:

The food store used  3 lbs of clusters, 6 lbs of granola, and 3 lbs of raisins.

Step-by-step explanation:

Given that:

A food store makes a 12-lb mixture of granola, clusters, and raisins.

The cost of granola = 1.00 per pound

The cost of clusters = 3.00 per pound

The cost of raisins = 2.00 per pound

Let granola be = g; cluster be c and raisins be r

Then, g + c + r = 12

Similarly, the mixture calls for twice as much granola as clusters.

2c + c + r = 12

3c + r = 12

r = 12 - 3c

2c(1) + 3c + 2r = 21

2c + 3c + 2r = 21

5c + 2r = 21

5c + 2(12 -3c) = 21

5c + 24 - 6c = 21

24 - c  = 21

-c = 21 - 24

c = 3

Thus, cluster c = 3 lbs

granola = 2(c) = 2(3) = 6 lbs

raisins = 12 - 3c

= 12 - 3(3)

= 12 - 9

raisins = 3 lbs


Related Questions

Mrs. Myane had 3/5 kg of sugar. She used 1/4 of it to make fruit pies. How much sugar did she use to make the fruit pies?

Answers

Answer:

3/20

Step-by-step explanation:

What if Mrs. Myane used a similar approach to the problem, but used simpler numbers? Consider this:

Mrs. Myane had 8 kg of sugar. She used 1/4 of it to make fruit pies. How much sugar did she use to make the fruit pies?

We can see that all we need to do here is divide by four or multiply 1/4. Using the same technique, we can figure out that (in the original problem) Mrs. Myane can create an expression similar to this:

(3/5)*(1/4)

This expression can work too: (3/5) ÷ 4

Following that, we get (3/20).

Good luck and keep studying! Apologies for the late reply. I hope it still helps!

Ella has 425 more bracelets to sell. She wants to
store these in bags that hold 20 bracelets each. She
estimates she needs about 25 bags. Do you agree?
Why or why not?

Answers

Answer:

I disagree . I don’t agree because if you have 25 bags with 20 braclets in each then you would just waste So many bags because you can fit 500 bracelets in those bags all together.

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

She needs about 20 bags, the exact amount needed 22.

Why:

22 x 20 = 440. Either she'd have five over (then it'd be 21 bags) or a not full bag.

7. Tricia and Melanie are both saving money for their summer vacations. They both
began saving at the same time. Tricia started with $10.25 and adds $5.15 to her
savings every month. Melanie did not have a starting amount but adds $10.25 to
her savings every month. Which equation could be used to determine how many
months, m, it will take before Tricia and Melanie both have saved the same
amount of money?
i

Answers

Answer:

5.15m + 10.25 = 10.25m

It will take about 2 months for them to have the same amount of money.

Step-by-step explanation:

Tricia : 5.15m + 10.25

Melanie : 10.25m

Set them equal to each other and solve for m:

5.15m + 10.25 = 10.25m

10.25 = 5.1m

2.01 = m

hi Help Please . Due today !

Answers

Answer:

y=-1/3x+3

Step-by-step explanation:

pls help me if you can

Answers

Answer:

Where is the question?

Write down all the multiples of 3 that are bigger than 1000 and smaller than 1010.

Answers

Answer:

1002, 1005, 1008

Step-by-step explanation:

Answer:

Well took me long enough but I finally got it. 1002, 1005, 1008.

Step-by-step explanation: LOTS and LOTS of counting

S plis prohy vas dorogie

Answers

Answer:

what do you need help wit exactly

Step-by-step explanation:

answer the question above BRAINLIEST IF RIGHT PLEASE ANSWER

Answers

Answer:

transaction amount for transaction 3 is: -155.15

transaction amount for transaction 4 is: -223.75

Step-by-step explanation:

We need to fill the blanks in the table.

For Transaction 3 and 4 we need to find the transaction amount.

For Transaction 3

The account balance after transaction 2 was 337.50 and account balance after transaction 3 was 182.35.

The transaction amount is: 337.50-182.35 = 155.15

So, transaction amount for transaction 3 is: -155.15

For Transaction 4

The account balance after transaction 3 was 182.35 and account balance after transaction 4 was -41.40

The transaction amount is: -41.40-182.35 = -223.75

So, transaction amount for transaction 4 is: -223.75

                           

1
Select the correct answer.
What is the standard form of this complex number?
(2 + 2i)
(1 - 0)
OA. 0 + 21
OB. 1 - 1
Oc. o ?
OD. 1 + 1

Answers

Answer:

A. 0+2i

Step-by-step explanation:

Plato (5/5 on test)


In one particular suburb, 85% of families own a beagle. If 34 families own a
beagle in this neighborhood, then how many families are in this suburb?

Answers

Answer:

There are 40 families in the suburb.

Step-by-step explanation:

Given that 85% of the families own a beagle.

Let x be the total number of families in the suburb.

It is also given that 34 families own a beagle

Which means that 85% of x is 34

This can be written as:

[tex]34 = 85\%\ of\ x\\34 = 0.85x\\\frac{0.85x}{0.85} = \frac{34}{0.85}\\x = 40[/tex]

Therefore, there are 40 families in the suburb.

solve for x.

9x - 1 = -11

Answers

Step 1:
Add one to both sides

The equation is now
9x = -10

Step 2:
Divide by 9 on both sides

The equation is now
x = -10/9

Answer:

D

Step-by-step explanation:

X = -10/9 = -1 and 1/9

23 lbs of bananas cost 161. how many lbs of bananas can you get with 28.​

Answers

Answer:

4 lbs of bananas

Step-by-step explanation:

161 / 23 = 7

$7 per lb of bananas

28 / 7 = 4

You can get 4 lbs of bananas

NEED HELP !!!!!

question :

Refer to the above Participation of State Park Users table. What percent of the survey population is between the ages of 18 and 45 and participates in camping? Round your answer to the
nearest tenth.

•18%
•22%
•15%
•19%

Answers

Answer:

I would say 22%. I wouldn’t hold me to that but it seems the most logical

Step-by-step explanation:

I agree with the comment above it’s 22%

I'm really serious right now. I really need help this is due in 20 mins.

Answers

Answer:

A is the right anwser and the most reasonable.

Step-by-step explanation:

Answer: why did u wait till last minute

Step-by-step explanation:

What should the following equation be multiplied by in order to eliminate the fractions? 2y/3+1/3=y/2+1/6

A. 25
B. 6
C. 5
D. 9

Answers

Answer:

B

Step-by-step explanation:

Because if you multiply the fractions by 6, the denominator would be a multiple.

For example, 2/3y x6/1= 12/3y= 4y

Evaluate:

16 - 12 + 13.5 - - 14

Answers

Answer:

31.5

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

Part A: About ⅔ of the students chose to go to the arcade. Calculate the number of buses needed for the arcade trip if each bus can transport 42 students. Explain your step

Answers

This question is incomplete

Complete questions

Total number of students is 126

Part A: About ⅔ of the students chose to go to the arcade. Calculate the number of buses needed for the arcade trip if each bus can transport 42 students. Explain your step

Answer:

2 buses would be needed for the Arcade trip

Step-by-step explanation:

Step 1

Total number of students = 126

We find 2/3 of the total number of students

2/3 want to go to the Arcade.

Hence,

2/3 × 126 = 252/3

= 84 students.

84 students want to go to the Arcade

Step 2

We are told in the question that

1 bus can transport 42 students

Hence,

42 students = 1 bus

84 students = x bus

Cross Multiply

42 × x = 84 × 1

x = 84 /42

x = 2 buses.

Hence, 2 buses would be needed for the Arcade trip

Mika has three and seven - sixteenths cm wire.She needs only two and five - eights cm wire for her project in TLE .How much wire does she need to cut?

Answers

Answer:

13/16 cm wire

Step-by-step explanation:

Length of wire that Mika has H = 3 7/16 cm = 55/16 cm

length of wire that she needs N = 2 5/8 cm = 21/8 cm

Total length of wire she has (H) is the sum of total length that she need (N) and the length that she cuts (C). This can be expressed as;

H = N+C

Length of wire she needs N = H-C

Substitute the given values into the expression;

N = 55/16 - 21/8

Find the LCM

N  = (55-42)/16

N = 13/16

Therefore she needs thirteenth-sixteenth cm wire

the bills won 57.1% of their 140 games last year. How many did they win

Answers

Answer:

79.94

Step-by-step explanation:

Answer:

79.94 is the answer to this. ps bills suck

Find the quotient: 13 ÷ 5/11 pls help ASAP

Answers

Answer:

143/5

or

28 3/5

Step-by-step explanation:

ywwwwhshshd

Answer:

143/5, 28.6, or 28 3/5

What are the terms in the expression 7x+4y+1?

I will give brainiest

Answers

7x, 4y, 1

i think that is right

Lucy can type 300 words in 5 minutes. How many words can Lucy type in 32 minutes?

Answers

Answer:

1920 words

Step-by-step explanation:

Set up a proportion, where x is the number of words Lucy can type in 32 minutes:

[tex]\frac{300}{5}[/tex] = [tex]\frac{x}{32}[/tex]

Cross multiply and solve for x:

5x = 9600

x = 1920

So, in 32 minutes, Lucy can type 1920 words

Which graph represents y as a function of x?

Answers

The answer is D because the line goes through the x-axis

Question 4 (3 points)
It take Andre 4 minutes to swim 5 laps.
a. How many laps per minute is that?

Answers

Answer:

1.25 laps per minute

Step-by-step explanation:

if it takes him 4 minutes to do 5 laps, then to find you many laps he can do in a minute you would just divide the two.

Sumi rides at a constant speed of 10 ft/s. Write an equation that expresses the distance d that sumi has traveled as a function of the time s in seconds since she started riding her bike

Answers

Answer:

d = 10s

Step-by-step explanation:

The formula for calculating the speed of Sumi is expressed as;

Speed = distance/time

Given

Speed = 10ft/s

time = s seconds

Required

Distance travelled as a function of time;

from the formula;

Distance = Speed * time

Distance = 10 * s

d = 10s

Hence the equation that expresses the distance d that sumi has traveled as a function of the time s in seconds since she started riding her bike is;

d = 10s

406.112 to the nearest tenth?

Answers

Answer:

406.1 is the answer..........

If 2x^3=y, then log y equals

Answers

Answer:

log 2 + 3 logx

Step-by-step explanation:

log 2x^3

log2+logx^3

log^2+3logx

This morning, Heather's car had 29.45 gallons of fuel. Now, 5.8 gallons are left. How much fuel did Heather use?​

Answers

Answer:

23.65

Step-by-step explanation:29.45-5.8=23.65

Answer:

She used 23.65 Gallons of fuel (if you needed it to be rounded then its 23.70)

Step-by-step explanation:

subtract 5.8 from 29.45

Joe rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 89 cents for each mile driven. Joe had to pay $268.97 when he returned the truck. For how many miles did he drive the truck?

Answers

100.0000000.0000.000000.000000.0000.0.0.00.0.0.0.
Look I got a nuke on cod mw

Solve for x. Round any decimals to 3 places. log5(3x+1)=log5(10)

Answers

my dude the answer is

  3

Step-by-step explanation

Other Questions
Which of the following terms of the Law of April 6, 1830, would NOT have upset the Anglo settlers?A Trade between Mexican and Texas ports was to expand.B.O New empresario grants were to be cancelled.C.Immigration from the U.S. into Mexico was prohibited and no slaves could enter into Texas or Mexico.D. Border taxes were to be collected.DOLL The revenue function is given by R(x)=xp(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=34(3)x6, find the revenue if 6 units are sold. Round to two decimal places. Read the story.Racing to RaceCarlo stopped to rest for a minute and tried to catch his breath. Hed been running for so long that he had pains in his side and his legs were beginning to hurt. He hunched over and tried to expand his lungs, but it was like trying to suck air out of a bicycle tire. His body was too exhausted to even allow him to take a deep breath, and he started to wheeze again.Great, he thought, let me just add asthma to my expanding list of ailments. I cant believe that I cant even jog two miles without completely collapsing! He finally gave in to his aching body and laid down on the grass to recuperate. He closed his eyes and tried to imagine himself running on the school track in the 1,600-meter race. He pictured himself running steadily toward the finish line, running effortlessly like a cheetah in the jungle. He was so lost in thought that he didnt even hear Meiya approach.Hey sleepyhead, what are you doing napping on Seans lawn in the middle of the day? Meiya asked playfully.Carlo quickly sat up, breathing normally now and feeling a little embarrassed. I am trying to get in shape to try out for track, but I cant even run two miles, he said dejectedly.Wait, how many months are you out of surgery? Didnt you just finish rehab last week? Meiya asked. You cant expect to run two miles the first day.It had been six months since Carlos surgery and he specifically remembered the doctor telling him he could start running after six months. But he thought about what Meiya had said and realized she had a good point. After his surgery, the doctor did say rehab would be crucial to his recovery but that it would take time for him to gain back full use of his leg. He thought about how a baby had to learn to walk before it could run. He remembered when his nephew was learning to crawl; within days it seemed like he was walking. Running didnt come right away, Carlo remembered. He realized it was the same with his therapy. The maximum he had run in the past month was one mile on the treadmill, so he realized that Meiya was probably right. He would have to work at building up his endurance and set more realistic goals for himself. As he thought about what he had already accomplished, he started to smile and felt like a weight was being lifted off his shoulders. He realized that he had run almost a mile and a half before his body started to protest and if he kept working hard, he could get back to where he was before his accident.Since when did you get so smart, Dr. Meiya? he teased. Do you want to race to the next mailbox?Youre on! she challenged and took off running at full speed.Question 1Part AWhat is a central theme of Racing to Race?A close friend is good medicine.Good things always come to those who wait.Running a race is not always about winning.Training takes time and dedication.Question 2Part BWhich statement best shows how the theme identified in Part A is developed in the story?Meiya reminds Carlo that he has just finished rehab, and Carlo acknowledges that he will once again have to build up his strength and endurance.Carlo pictures himself winning a big race on the school track team and when he realizes that he may not be able to run, he is very discouraged and disappointed.Carlo realizes that he may not be able to compete on the school track team because his injury is not fully healed but discovers that he can still run for fun with his friend.Meiya knows that she is faster than Carlo, so she does her best to encourage him and also lets him win a race between them to boost his spirits. Helium is an inert gas used in lighter-than-air crafts like blimps becauseit is nonflammable. It is formed deep underground over millions ofyears as a by-product of the formation of natural gas. Almost all of theworld's helium is found in deep deposits of natural gas within 250 milesof Amarillo, Texas. Helium can be considered what type of naturalresource? SC.G.2.3.1A. a fossil fuelB. a renewable resourceC. a part of the carbon cycleD. a nonrenewable resource Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice! Help?...1/3(-3) + 13 Slavery played the BIGGEST role in which Colonial event?A.Nat Turner's RebellionB.French and Indian WarC.The Stono RebellionD.The Civil War I need this math equation simplified. please awnser thank Help plz:))) Ill mark u brainliest10 ez POINTS The different kinds of beads that Casey isusing to make purses come in packages of3 and 9. What is the least number of eachkind of bead that Casey can buy to have anequal number of each of the different kindsof beads? Are the ratios 20:16 and 10:8 equivalent? Which of the following is NOT correct and why?Il est roux.Elle est rousse.Elle a les yeux verts et les cheveux rousse.Il a les yeux verts et les cheveux roux. There are 35 students in a drama club two out of every five boys in the club are boys how much diamonds in the club are boys Solve for r. r + 62 2 =1 A restaurant uses 3 3 pounds of pasta for a party of 14 14 people. If they are cooking pasta for a party of 56 56 people, what should they do? CLEAR CHECK Use 42 42 more pounds of pasta. Use twice as much pasta. Use 12 12 more pounds of pasta. Use 4 4 times as much pas How many grams of sodium chloride decompose to yield 15 grams of chlorine gas?2NaCl 2Na+ Cl2A- 12.363 9 NaciB- 49.453 g NaciC- 30 g NaClD- 0.846 g Naci why is tracy upset during the caroling? why does she turn to hamadi for comfort? how useful do you think hamadi advice is for someone in Tracy's situation? answer all of them plz the story name is ( Hamadi) come on man wont you answer a poor sinners question SERIOUSLY HELP Aurora has eating 3 out of the 10 treats I gave her. What percent of treats did she eat?