Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040 is collected.How many children and how many adults attended the movies?



children

adults

Answers

Answer 1
Answer: Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
   = 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
   = 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.

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Answers

Answer:

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Step-by-step explanation:

Given a supplier sells 2 1/4 lbs mulch for every 1 1/3 lbs gravel, you want to know the weight of each if 172 total pounds were sold.

Ratio

The ratio of pounds sold can be found as ...

  mulch : gravel = 2 1/4 : 1 1/3 = 9/4 : 4/3 = 27/12 : 16/12 = 27 : 16

Fraction

The fraction of mulch sold is 27/(27+16) = 27/43. In pounds, that fraction is ...

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Answer for number 7 help me please !!!

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The surface area of the cylinder is 1570.8

What is 350 over 100 as a percentage?

Answers

                                               

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volenteers at an animal shelter divide 132 pounds of dry dog food equally into 16 bags how many pounds of dog food did they put in each bag

Answers

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9.9g of sugar is needed for every cake made. How much sugar is needed for 8 cakes?

Answers

Answer:

79.2 g of sugar is needed.

Step-by-step explanation:

9.9 times 8 is 79.2.

You can prove this by dividing 79.2 by 8 and you will get 9.9 as the answer.

Answer:

See answer below

Step-by-step explanation:

Hi there,

Get started by developing a relationship between the amount of sugar for 1 cake. We can use dimensional analysis to solve this.

(9.9 \ g \  sugar)/(1 \ cake)

Now, we know that we need 8 cakes. We put 1 cake on the bottom of the fraction so that it cancels out with the 8 cakes unit:

(9.9 \ g \  sugar)/(1 \ cake)* \ 8 \ cake = 9.9 g \ sugar  *  8 = 79.2 g \ sugar

thanks,

Bert's cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline's cab company charges $3.00 plus an additional $2.00 per mile for a ride. At what distance in miles will the cost be the same for both companies. Please show your work

Answers

The distance when there'll be the same cost will be 2 miles.

From the information given, it was stated that Bert's cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline's cab company charges $3.00 plus an additional $2.00 per mile for a ride.

Therefore, the equation to solve the question will be:

1 + 3m = 3 + 2m

3m - 2m = 3 - 1

m = 2

The distance will be 2 miles.

Learn more about equations on:

brainly.com/question/2972832

I will use linear equation:Berts:y=3x+1. where y represents the total costMadeline's: y=2x+3Plug in numbers for x and you will find that the answer is 2 miles because bert: 3(2)+1=7 andMadeline: 2(2)+3=7Hope this helped