Question

This question has two parts.

The admission ticket to a baseball game is $5 for children and $9 for adults. On a certain night,

900 people were present at the baseball game and $6,500 was collected. How many children

attended the baseball game?

Part A

Write a system of equations, and solve it to find the number of children that attended the

baseball game.

Write your answers and your work or explanation in the space below.

Answer 1

x + y = 900

5x + 9y = 6500

400 children

Explanation:

Let:

Children = x ; adult = y

x + y = 900 - - - (1)

5x + 9y = 6500 - - - (2)

From (1)

y = 900 - x

Put y = 900 - x in (2)

5x + 9(900 - x) = 6500

5x + 8100 - 9x = 6500

-4x = 6500 - 8100

-4x = - 1600

x = 1600 / 4

x = 400