Question

The admission at the movies is $7.25 for children and $9.75 for adults. The total amount collected was $3000.00, and there were 350 people in total. How many children and adults attended?

A. 200 children, 150 adults
B. 250 children, 100 adults
C. 150 children, 200 adults
D. 100 children, 250 adults

Answer 1

165 children and 185 adults attended the movie.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's assume the number of children attending is x and the number of adults attending is y.

We know that the admission for children is $7.25 and the admission for adults is $9.75, and the total amount collected is $3000.00. So, we can set up the following equations:

7.25x + 9.75y = 3000 (equation 1)

x + y = 350 (equation 2)

To solve these equations, we can use substitution or elimination method. Let's use substitution method:

From equation 2, we can rewrite it as x = 350 - y. Substitute this value of x into equation 1:

7.25(350 - y) + 9.75y = 3000

Simplify the equation:

2537.50 - 7.25y + 9.75y = 3000

Combine like terms:

2.50y = 462.50

Divide both sides by 2.50:

y = 185

Substitute this value of y back into equation 2:

x + 185 = 350

Subtract 185 from both sides:

x = 165

Therefore, there were 165 children and 185 adults attending the movie.