The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?

Answers

Answer 1

Given :

The admission fee at a small fair is $1.50 for children and $4.00 for adults.

On a certain day, 2,200 people enter the fair and $5,050 is collected.

To Find :

How many children and how many adults attended.

Solution :

Let, number of children and adults attended are c and a.

So, c + a = 2200      ....1)

Now, fair collected is given by :

1.5c + 4a = 5050     ....2)

Putting value of a from equation 1) to 2), we get :

1.5c + 4( 2200 - c ) = 5050

1.5c - 4c = 5050 - 8800

2.5c = 3750

c = 1500

a = 2200 - 1500

a = 700

Therefore, 1500 children and 700 adults attended the fair.


Related Questions

Omar has a new credit card. He earned 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how much money did he spend?

Answers

$600
1800 divided by 300= 6
Just out 2 zeros behind the 6 and u have 600

Dont know how to do it ​

Answers

Answer:

multiply them.

Step-by-step explanation:

Aaron has three slabs of beeswax. He plans to melt them and use all of the wax to form 36 candles. If all the candles are the same size and weight, how much will each candle weigh?

Answers

Weight of slab of beeswax isn't given.

Assume slab of beeswax = 36 gram.

Answer:

3 gram

Step-by-step explanation:

Each slab of beeswax = 36 gram

Total weight of all 3 slabs = (3 * 36) = 108 g

Number of same-sized candles to make = 36

The weight of each candle will be ;

Total weight of slabs / number of candles

108 g / 36

= 3 grams

What is the result when the number 5 is increased by 20%?

Answers

Answer:

6.0

Step-by-step explanation:

20% of 5 is 1, so you simply add 1 to 5 and you get this result:

5 + 1 = 6

Hope this helps

At T-Shirts R Us, the cost to make new shirts is $1.50 per shirt plus a $50 set-up fee. At T-Shirt Planet, the set-up fee is $75 and $1 per shirt. Find the number of shirts you can order so that the cost at both companies is the same.

Answers

Answer: The number of shirts you can order = 40

Step-by-step explanation:

Let x = Number of shirts

At T-Shirts R Us,

Total cost = 50+1.50x

At T-Shirt Planet,

Total cost = 75+x

As per given, when the cost at both companies is the same then

[tex]1.50x+50=x+70\\\\\Rightarrow\ 1.50x-x=70-50\\\\\Rightarrow 0.50x=20\\\\\Rightarrow\ x=\dfrac{20}{0.50}=40[/tex]

Hence, the number of shirts you can order = 40

Which of the polygons has the greatest area?
Group of answer choices

A square with side length of 4.6 inches.

A triangle with a base of 7.18 inches and a height of 5.4 inches.

A parallelogram with a base of 5.875 inches and a height of 3.5 inches.

A rectangle that is 3.25 inches wide and 6.1 inches long.

Answers

Answer:

A triangle with a base of 7.18 inches and a height of 5.4 inches

Step-by-step explanation:

You have to multiply 7.18 by 5.4

7.18*5.4=38.772

If you do the math to the other equations, they are all less then the triangle.

PLEASE HELPPP
Marina Polyakova pays a total of $1150 per month
for rent and electricity. It costs $650 more for rent
per month than for electricity. What are the costs
for each? Solve by Substitution

Answers

Answer:

The electricity is $500 and the rent is $650.

Step-by-step explanation: I think you just subtract 650 from 1150.

(-12+-4)divided by _4

Answers

Answer:

-4 ..................

Answer:

It's 4

Step-by-step explanation:

If you add them it gives you -16 den you divide it by 4 which it will be 4

Help mee please!!

answer choices:

(2,3)
(3,2)
(3,4)
(3,-2)

Answers

I'm pretty sure it's (3,-2)

help with this question please 10 points​

Answers

Answer:

x = 80

measure of exterior angle = 112°

Step-by-step explanation:

32 + x = 2x - 48 (because the measure of exterior angle is equal to the sum of the two interior angles)

32 + x = 2x - 48

32 = x - 48

x = 80

plug in,

2(80) - 48

160 - 48 = 112

PLEASE HELP 3844893 POSTING THIS ND I HAVENT BEEN HELPED

Answers

Answer:

ghnmjmmm

Step-by-step explanation:

fggnmmm

Answer:

x= 4

y= 2

Step-by-step explanation:

sorry if im wrong

6x+5-4y-2x+y=

PLEASE HELP ME I NEED IT ASAPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

There is no way to solve this for x or y, as only one relationship between those variables is provided.  We can, however simplify that expression.

6x + 5 - 4y - 2x + y

group like terms:

= 6x - 2x - 4y + y + 5

add like terms together

= 4x -3y + 5

And that is as much as can be done with just that expression.

The simplest form of the given equation 6x+5-4y-2x+y is 4x - 3y + 5.

What is simplification?

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Given an expression 6x+5-4y-2x+y

simplifying it

=> 6x -2x -4y + y +5

(adding terms with same variable)

=> 4x - 3y + 5.

therefore, the simplest form of the given equation is 4x - 3y + 5.

Learn more about simplification here:

brainly.com/question/24242989

#SPJ2

A rectangle with a perimeter of 9 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.2 with the origin as the center of dilation. If (x,y) represents the location of any point on the original triangle, which ordered pair represents the coordinates of the corresponding point on the resulting triangle?
A. (x + 0.2, y + 0.2)

B. (.2x, .2y)

C. (9x, 9y)

D. (x + 9, y +9)

Answers

Answer:

B now give me brain

Can somebody help me on this please

Answers

It’s D because since c is to the power of -4 you would move it to the numerator so that it can be to the power of a positive number :)

Jason makes a fruit salad using only strawberries and blue berries. The ratio of strawberries to blueberries in Jason's fruit salad is 4 cups to 5 cups

Answers

Complete question :

Jason makes a fruit salad using only strawberries and blueberries. The ratio of strawberries to blueberries in Jason's fruit salad is 4 cups to 5 cups.

Options is in the attached picture

Which statement describes the contents of Jason's fruit salad?

Answer:

Blueberry makes up 5/9 of the fruit salad

Step-by-step explanation:

Ratio of strawberries to blue berries is 4cups to 5 cups

Hence, in a fruit salad makeup ;

We can say we have 4 cups of strawberry for every 5 cups of blue berry

Fraction of strawberry and blueberries :

Total ratio = (4 + 5) = 9

Fraction of strawberry = 4/ 9

Fraction of blueberry = 5/9

Hence, from the option  , the statement ;

Blueberry makes up 5/9 of the fruit salad is true since both are the only ingredients used

I HAVE 15 MINUTES OFFERING ALL MY POINTS
Find the value of x and y

Answers

Answer:

y = 23

x = 28

Step-by-step explanation:

Find y first.

3y + 5y - 4 = 180                     The two angles are supplementary if the all the lines are parallel.  Combine the left side.

8y - 4 = 180                              Add 4 to both sides

8y - 4 + 4 = 180 + 4

8y = 184                                   Divide both sides by 8

y = 23

====================================

Now if the lines are parallel, then 3y = 2x + 13

But we already know y

3*23 = 2x + 13                         Do the multiplication

69 = 2x + 13                             Subtract 13

56 = 2x                                    Divide by 2

x = 56/2

x = 28

Answer:

y = 23

x = 28

Step-by-step explanation:

Shoooooot i am so late with this answer, so so sorry haha-

and i'm no gonna do the explanation because the guy above me did a fairly well explanation of how i solve them too.

uhm, have a good day!

Write the phrase as an expression.
5 times a number d
An expression is

Answers

Answer:

5d

Step-by-step explanation:

5(d) or 5×d or 5•d

d is unknown

anyone know this? I need help with this badly

Answers

Answer:

Step-by-step explanation:

no

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a four or a queen

Answers

8/52 have a great day

Use the relationships between the angles to find the value of x.
102°
x+15%
=
degrees

Answers

Answer:45

Step-by-step explanation:

Answer:

Step-by-step explanation:

The table shows the cost of a watermelon on the 4th of July and the day after. What was the percent of change of the price of a watermelon from the 4th of July to the 5th of July?

July Date Cost of a Watermelon
4 $5.25
5 $3.25
Round to the nearest percent.

The price of a watermelon decreased about
___ %.

Answers

Lol I have no idea buddy maybe ask ur teacher to teach you how to do this waittt she probably already did :l

What is the equivilent of +367 on a numberline?

Answers

Answer:

367

Step-by-step explanation:

367 because it is positive

What is the value of x in the figure

Answers

Answer:

x=25 I believe

Step-by-step explanation:

So, 130° should be for both the angles at the top, so that leaves 100° left for the ones at the bottom because 360 - 260 = 100

So since the 2 angles at the bottom should be equal to each other, we have 4x for the bottom 2 angles.

So, 4x = 100

So, x = 25

There are 125 sheets of paper in a pack. A classroom uses 30 packs of paper in a year. How many total sheets of paper does the classroom use?

A.
155

B.
625

C.
1,875

D.
3,750

Answers

Answer:

3,750

Step-by-step explanation:

Answer:
D. 3,750
Explaintion:
125 sheets in each pack x 30 packs of paper in a year = 3,750 sheets of paper used in a year

Tell me the slope AND the y-intercept of the equation 6x + 2y = 10. *​

Answers

The slope is -3 and the y-intercept is -5 hope this helps!

solve x, show your work
-(7-4x)=9​

Answers

Answer:

use the scan & solve that brainly provided for you it'll make the work easier trust me

Answer:

x = 4

Step-by-step explanation:

-(7-4x) = 9

-7 + 4x = 9

+7             +7

4x = 16

divide both sides by 4

x = 4

Hope this Helps!!!

PLEASE HELP



The picture below shows a loading platform that extends out 6 feet from the back of a truck. What is the exact length of the platform?​

Answers

Answer:

really easy its 180

Step-by-step explanation:

because you multiply 30 times 6 u get 180

Answer:

5.2 ft

Step-by-step explanation:

[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]

Help me with this problem? GIVING BRAINLIEST!!

Answers

convert all to common units i'll do feet and minutes
A. 18 ft in 20 minutes
B. 90 feet in 150 minutes
C. 60 feet in 90 minutes
D. 11 feet in 15 minutes

18/20 = .9
90/150 = .6
60/90 = 2/3
11/15 = 7.33333
A is the fastest

Answer:

Speed = Distance/time in km/h

a) 18 feet in 20 minutes

0.0054864 km/0.333333hours

=0.01645921645 km/h

b) 90 feet in 2.5 hours

0.027432km/2.5

=0.0109728 km/h

c) 20 yards in 1.5 hours

0.018288km/1.5

=0.012192 km/h

d) 3 2/3 yards in 15 minutes

0.003352800000003048km/0.25hours

=0.0134112

So I think its safe to say that A is the fastest in comparison

b) Find the value of (2.63 - 0.87) – 2.076

Answers

Answer:

-0.316

Step-by-step explanation:

2.63-0.87-2.076

=-0.316

Hope it helped!

Please help with this! Show how you got it!!! Will mark brainliest!!

Answers

Answer:

sum of interior angles of octagon is 1080 degrees

From figure ,

136 + 132 + 129 + 116 + 158 + 141 + 124 + x = 1080

so, x = 1080 - 936

        = 144

Step-by-step explanation: Simply add the angles and substract the sum from 1080 which is the sum of interior angles of octagon

Answer:

144 degrees.

Step-by-step explanation:

There are 8 sides to this polygon so the total internal of

angles = 180( 8 - 2)

= 1080

Adding up the 7 given angle we get  936

So x = 1080 - 936

= 144.

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