Question

A group of seven people spent $33.50 on movie tickets. They paid $6.50 for each adult ticket and $3.50 for a child's ticket. Which system of equations could be used to find X, the number of adult tickets purchased and Y, the number of children's tickets purchased?

Answer 1

4 adult tickets and 3 kid's tickets.

Answer 2

x + y = 7; 6.50x + 3.50y = 33.50

Explanation:

x: adult; y: child

total amount of tickets purchased: $33.50

Equation 1: x + y = 7 total amount tickets purchassed

Equation 2: 6.50x + 3.50y = 33.50 total amount spent

x= 3, y = 4

6.50(3) + 3.50(4) = 33.50

19.50 + 14.00 = 33.50

33.50 = 33.50