Question

Solving the systems of equations. Write a system of

equations and solve.
You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children. you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?
Adults tickets =
Children tickets =

Answer 1

Adult tickets = 15

Children tickets = 9

Explanation:

x = adult tickets

y = children tickets

8x + 4y = 156

x + y =24

Therefore,

x = 24 - y

y = 24 - x

Substitute,

8 (24 - y) + 4y = 156

192 - 8y + 4y = 156

-8y + 4y = 156 - 192

-4y = -36

y = 9

Therefore,

x + 9 = 24

x = 24 - 9

x = 15

Check your answers

8x + 4y = 156

8(15) + 4(9) = 156

120 + 36 = 156

156 = 156