Question

The owner of a movie theater is counting the receipts from one day of ticket sales. He knows that 250 tickets were sold. Adult tickets are $10 each and children’s tickets are $8 each. If the total collected for the day was $2276, how many of each type of ticket were sold? a. Write the system of equations to represent this situation. b. Solve the system using elimination. c. How many of each type of ticket were sold?

Answer 1

Step-by-step explanation:

x + y = 250 -eq.1

10x + 8y = 2276 -eq.2

eq.1 × 8

8x + 8y = 2000 -eq.3

eq.2 - eq.3

10x + 8y = 2276

( - ) 8x + 8y = 2000

2x = 276

x = 138

sub x = 138 into eq.1

138 + y = 250

y = 250 - 138

y = 112

x = 138, y = 112