Question

The play took in $728 one night. The number of $8 adult tickets was 14 less than twice the number of $5 child tickets. How many of each ticket were sold

Answer 1

• adult: 66
• child: 40

Explanation:

Let c represent the number of child tickets sold. Then 2c-14 is the number of adult tickets sold, and total revenue is ...

5c +8(2c-14) = 728

21c -112 = 728 . . . . . . simplify

21c = 840 . . . . . . . . . . add 112

c = 40 . . . . . . . . . . . . . divide by 21

2c-14 = 66 . . . . . . . . . number of adult tickets sold

66 adult tickets and 40 child tickets were sold.