The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16. The Capulets purchased three adult tickets and two student tickets for $19. How much was each adult and student ticket?

Answers

Answer 1

Answer:

The cost for adult tickets be represented by x = $5

The cost for student tickets be y = $2

Step-by-step explanation:

Let the cost for adult tickets be represented by x

the cost for student tickets be y

The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16.

= 2x + 3y = 16... Equation 1

The Capulets purchased three adult tickets and two student tickets for $19.

3x + 2y = 19 ..... Equation 2

How much was each adult and student ticket?

2x + 3y = 16... Equation 1

3x + 2y = 19 ..... Equation 2

We solve using Elimination method

Multiply Equation 1 by 2 and Equation 2 by 3 to eliminate u

4x + 6y = 32..... Equation 3

9x + 6y = 57.... Equation 4

Subtract Equation 4 from 3

-5x = -25

x = 25/5

x = $5

2x + 3y = 16... Equation 1

Since x = $5

2($5) + 3y = 16

10 + 3y = 16

3y = 16 - 10

3y = 6

y = 6/3

y = $2

Therefore:

The cost for adult tickets be represented by x = $5

The cost for student tickets be y = $2


Related Questions

Quisha spent 1/3 hour answering 9 homework questions for her history class. she spent the same ammount on each question. what fraction of an hour did it take quisha to answer each question

Answers

Answer:

[tex] \frac{1}{3} \div 9[/tex]

to get the time for each question

She spent 1/3 of an hour answering 9 questions. That’s 20 minutes spent answering 9 questions. If she spent the same amount on each question then she spent 2.2 minutes on each question. That’s 2.2/60
Since there’s 60 minutes in an hour and simplified that’s 1.1/30

To get into the carnival, it costs $5. Then each ride costs $2.25. *Use a linear equation to solve the following:


If you brought $35, how many rides can you go on?
How much would it cost altogether to ride 7 rides?

Answers

Answer:

equation: y=2.25x+5

a: 13 rides

b:$20.75 for 7 rides

explanation:

a: 35=2.25x+5

first subtract 5 from 5 and 35

30=2.25x

divide each side by 2.25

x= 13 1/3

can only go on 13 rides

b: y=2.25(7)+5

2.25×7=15.75

15.75+5=20.75

$20.75 for 7 rides

heyy could you help me out? ​

Answers

Answer:

Step-by-step explanation:

Well so it is asking you the statements and reasons and there is a select button it would be..... Hold on think about the letter formation. Just choose your best answer you think it is because if we are telling you thats cheating. But look above what I said. Think of the letter formation and quardinate with the question. I am speeding and yes I know I spelt it wrong.

Yusuf bought a DVD player for $280, now it is $220. What is the percent decrease in the price?​

Answers

60 % because 280-220 gets you 60%

Answer:

About 21.4%

Step-by-step explanation:

280 - 220 = 60

60 of 280 = ?

Variable x = percentage

60/280 = x/100

Cross multiply

60 × 100 = 280 × x

6000 = 280x

Divide both sides by 280

6000 ÷ 280 = 280x ÷ 280

21.428.... = x

About 21.4%

Check work:

60/280 = 21.4/100

Cross multiply

60 × 100 = 280 × 21.4

6000 = 5992

6000 is close to 5992

It does not equal exactly 6000 because I estimated the percentage to 21.4% instead of 21.428....%

1. To make 1 batch of granola, Kiran needs 26 ounces of oats. The only measuring tool he
has is a 4-ounce scoop. How many scoops will it take to measure 26 ounces of oats?
a. Will the answer be more than 1 or less than 1?
b. Write a multiplication equation and a division equation that represent this
situation. Use "?" to represent the unknown quantity.
c. Find the unknown quantity. If you get stuck, draw a diagram.

Answers

Answer:

the answer being 6.5 or 6 1/2

Step-by-step explanation:

the equation is 26 ÷ 4 = ? and 6.5 × 4 = 26

Answer:

A.more tan one

B.? x 4 = 26 and 26 x 4 = ?

C.1 1/25

Step-by-step explanation:

Solve 1/4 ÷ 7 = ___.

Answers

Answer:

1 /28

Step-by-step explanation:

Help me out pleaseeeeeee

Answers

The slope is -4/5 so it’s B

the concrete footings for piers for a raised foundation are cubes measuring 18 in. by 18 in. by 18 in. How many cubic yards are needed for 48 footings

Answers

Answer:

16

Step-by-step explanation:

48/3=16

Factor Completely: 2x2 - 72y72y

Answers

-72yexponet73 + 2xexponet2 :)

Sven has $1 and a dime in his pile Dayna has 11 dimes in her pile if Sven gives Dayna $1 and Dayna gives Sven ten dimes will the two piles still be equal in value?

Answers

Answer:

The two piles will still be equal in value

Step-by-step explanation:

From the question,

Sven has $1 and a dime in his pile, and

Dayna has 11 dimes in her pile.

Now,

If Sven gives Dayna $1 and Dayna gives Sven ten dimes,

To determine if the two piles will still be equal in value,

First, we will determine what each of Sven and Dayna has presently.

For Sven,

He has $1 and a dime, he gives out $1 and received ten dimes, that means

$1 + 1 dime - 1$ + 10 dimes = 11 dimes

Now, Sven has 11 dimes with him

For Dayna,

She has 11 dimes, she gave out 10 dimes and received 1$, that means

11 dimes - 10 dimes + $1 = $1 and a dime

Now, Dayna has $1 and a dime.

To determine if the two piles will still be equal, we will convert Dayna's dollar ($) to dimes

(NOTE: 10 dimes make a dollar, that is, 10 dimes = $1)

Dayna has $1 and a dime,

$1 + 1 dime = 10 dimes + 1 dime = 11 dimes

∴ She has 11 dimes.

Since, Sven has 11 dimes as well,

Hence, the two piles will still be equal in value.

a firehouse ladder can expend to 28ft. how many inches is that? use unit analysis to solve this conversation problem. (1ftt=12in)

Answers

Answer:

336inch

Step-by-step explanation:

1ftt=12in

28ftt=12 ×28

=336in

Answer:

336inch

Hope this helped!

(5^3)^1
Find the value, and Write the answer without exponents

Answers

Answer:

125

Step-by-step explanation:

u do 5 to the power of 3 then to the power of 1. yw.

Nicole made $187 for 11 hours of work.
At the same rate, how many hours would she have to work to make $119?

Answers

Answer:

hold on im working on it

Step-by-step explanation:

He needs to work for 7 hours

A dance studio charges all new members a $175application fee plus $20 per month. How much will Stacie pay for a 2 year membership

Answers

Answer: Stacie will have to pay $655 for a 2 year membership

Answer:$655

Step-by-step explanation:

She has to pay 175 dollars upfront. So we know this amount will be added to what she pays. She pays 20 per month. If in two years there are 24 months, then you have to multiply 20 times 24, giving you 480. You have to then add the 480 and the 175, giving you 655. She will pay $655 for a 2 year membership.

Figure A is a scale image of figure B. Figure A maps to figure B with scale factor of 0.25.
What is the value of x ?

Answers



Use a property of proportions that states that their reciprocals are equal if the two ratios are equal you get
x : 1

A grocery store clerk put only cans of tomato soup and cans of chicken soup on a shelf. The ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17. Which number could be the number of cans of tomato soup the clerk put on the shelf.

Answers

Answer:

9 cans of tomato soup

Step-by-step explanation:

We are told that only cans of tomato soup and cans of chicken soup are put on the shelf.

Now, we are told that the ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17.

In fraction, this is 8/17

Now, this implies that there are 8 cans of chicken noodle soup while there are a total of 17 cans on the shelf.

Thus,

Since only cans of chicken noodles and cans of tomato soup are on the shelf, it means;

Cans of tomato soup = 17 - 8 = 9

Answer:

9 Cans of Soup

Step-by-step explanation:

I took the quiz and got it right :D

Write the simplified form of (-0.5z + 0.9z) – (-0.3z + 0.9z).

Answers

Answer:

-0.2z

Step-by-step explanation:

0.4z-0.6z

-0.2z

Frankie solved the math problem below. Find the error in Frankie's work and explain it in words, using math language. 2 1/3 - 1 2/5 2 1/3 x 5/5 = 2 5/15 -1 2/5 x 3/3 = -1 6/15 = -1 1/15

Answers

Given:

The expression is

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}[/tex]

To find:

The error in Frankie's work.

Solution:

We need to simplify [tex]2\dfrac{1}{3}-1\dfrac{2}{5}[/tex], so

[tex]2\dfrac{1}{3}=2\dfrac{1}{3}\times \dfrac{5}{5}[/tex]

[tex]2\dfrac{1}{3}=2\dfrac{5}{15}[/tex]

and,

[tex]1\dfrac{2}{5}=-1\dfrac{2}{5}\times \dfrac{3}{3}[/tex]

[tex]1\dfrac{2}{5}=-1\dfrac{6}{15}[/tex]

Now,

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=2\dfrac{5}{15}-1\dfrac{6}{15}[/tex]

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=(2+\dfrac{5}{15})-(1+\dfrac{6}{15})[/tex]

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=2+\dfrac{5}{15}-1-\dfrac{6}{15}[/tex]

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=1-\dfrac{1}{15}[/tex]

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=\dfrac{14}{15}[/tex]

Therefore, there is error in Frankie's last step. In that step, he did not subtract the mixed fraction correctly.

Raquel bought a total of 18 roses and orchids. Roses were $2.50 each while orchids were $4.00 each. If she spent $54.00, how many of each did she purchase?

Answers

Answer:        6

Step-by-step explanation:

18 Roses were bought lets now split 18

        | | | | | | | | |           | | | | | | | | |

We split 18 into 6

WHPH - WORK HARD PLAY HARDER

How much money would you pick out the two? Why?

a) $20^15

b)$3.599x10^6

Answers

$20^15 it is the answer

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
a. yes; y = 2x
b. yes; y = 4x
c. yes; y = 8x
d. no; y does not vary directly with x

Answers

Answer:

d

Step-by-step explanation:

becuse the first one would be 4x and the other ones 2x

The Answer to your question is D

Which set of lengths might be used to represent the sides of a right triangle?

A. (6, 7, 10)

B. (7, 15, 17)

C. (9, 12, 16)

D. (7, 24, 25)

Answers

Answer:

Step-by-step explanation:

B

The set of side lengths (7, 15, 17) represents a right angled triangle

For the given set of side lengths to represent a right angled triangle, the

Pythagoras relation should be satisfied by the side lengths of the triangle.

We can write the given relation as -

h² = b² + p²

Consider the side length pairs as -

(7, 15, 17)

We can arrange the sides as -

17² = 15² + 7²

289 = 225 + 49

289 = 289

The set of side lengths (7, 15, 17) represents a right angled triangle.

To solve more questions on triangles, visit the link-

https://brainly.com/question/2773823

#SPJ2

Una escuela compró varios ejemplares del libro A, que cuesta $200.00, y del libro B, que cuesta $150.00. Compró en total 120 libros y pagó $20,500.00 por ellos. ¿Cuántos ejemplares de cada libro compró

Answers

Responder:

Copias del libro A = 50

Copias del libro B = 70

Explicación paso a paso:

Costo por libros A = 200

Costo por libro B = 150

Sea el número de libros A = x

Número de libros B = y

Número total de libros comprados = 120

Costo total = 20,500

x + y = 120 - - - (1)

200x + 150y = 20500 - - - (2)

De 1)

x = 120 - y

Sustituya x = 120-y en (2)

200 (120 - años) + 150y = 20500

24000 - 200y + 150y = 20500

24000 - 50y = 20500

-50 años = 20500 - 24000

-50y = - 3500

y = 70

x = 120 - y

x = 120 - 70

x = 50

What is the equation of the line that is parallel to the
given line and passes through the point (2, 3)?

x + 2y = 4
X + 2y = 8
2x + y = 4
2x + y = 8

Answers

Answer:

Its b. x + 2y = 8

Step-by-step explanation:

Right on edge

Answer:

b

Step-by-step explanation:

Find the value of the variable that results in congruent triangles for numbers 6 and 8.

Answers

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

AC ≅ FH [Given]

BC ≅ GH [Given]

AB ≅ FG [Given]

ΔABC ≅ ΔFGH [By SSS property of congruence]

Since, m∠A + m∠B + m∠C = 180°

50° + 69° + m∠C = 180°

119° + m∠C = 180°

m∠C = 180° - 119°

m∠C = 61°

m∠C = m∠H [Since, ΔABC ≅ ΔFGH]

(2x + 5)° = 61°

2x = 61 - 5

2x = 56

x = 28

What is the y-intercept of the line y + 6 = -4(X - 1.5)

Answers

Answer:

y=0.

y + 6 = -4(X - 1.5)

y+6 = -4x+6

y = mx+b

y=4x

There isn't a b, which is the y intercept, so the y int would be 0

23.45 divide by 1.5 please answer I really need help with my homework

Answers

Answer:

15.60 rounded

Step-by-step explanation:

23.45/1.5=15.63333333333333

15.63333333333333 rounded to the nearest 100th is 15.60

hope this helps :3

if it did pls mark brainliest

Solve for p: 9(p-4)=-189(p−4)=−18

Answers

Answer:

P= 3.27

Step-by-step explanation:

Hope this helps sorry for the crumbled paper

Answer:

its 2 :D

Step-by-step explanation:

Every morning, Peter does the same 55-minute workout routine. He does a combination of jogging and floor exercises. The distance that Peter covers over time during his workout is shown in the graph below. Which statement is true of Peter’s morning workout routine?




Peter jogs the same distance from points A to C and D to F.


Peter stops jogging to do his floor exercises between points C and D.


Peter jogs at a constant speed to reach the distance at point C from point A.


Peter jogs for a longer period of time between points A and B than between points D and E.

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since Peter exercises 55 minutes, he stops jogging to do his floor exercises between points C and D, and then continues to finish his workout.

,,,,,,,,,,,,,,,,,,,,,,,

Answers

Answer:

30

80-50

Step-by-step explanation:

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