Question

Mary is buying movie tickets.

Adult ticket are $9
Child Tickets are $5
Mary spends $110 on tickets
Mary Bought 14 Tickets

How many child and adult tickets did Mary buy?

Please show work.

Answer 1

Adult Tickets = A
Child Tickets = C

A + C = 14                (1)
9A + 5C = 110          (2)

Multiply (1) by 9
9A + 9C = 126
9A + 5C = 110 Subtract these two equations.
4C = 16 Divide by 4
C = 16/4
C = 4

A+ C = 14
A +4 = 14 Subtract 4
A = 14 - 4
A = 10

There were Ten Adults         <<<<Answer
There were four children      <<<<Answer