An adult ticket at an amusement park costs $29.95 and a child's ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?

Write the equations:

a + c = 15

a = 15-c

29.95a + 21.95c = 353.25

Replace a in the last equation:

29.95 (15-c) + 21.95c = 353.25

Simplify:

449.25 - 29.95c + 21.95c = 353.25

449.25 - 8.00c = 353.25

Subtract 449.25 from both sides:

-8.00c = - 96.00

Divide both sides by - 8.00:

c = - 96 / - 8

c = 12

There were 12 children.

There would've been 12 children