Question

To raise money, the student council at
a local middle school is hosting a talent
show. Tickets are sold for $5.00 for
students (x) and $8.00 for adults (y).
The goal is to raise a total of
$1,575.00. Which of the following is a
viable solution for the number of
student and adult tickets that can be
sold? (1 point)
(125, 115)
(371, −35)
(81, 146.25)
(115, 125)

Answer 1

We need 5x + 8y = 1575 with x,y whole nonnegative numbers.

Check each:
- (125,115): 5·125 + 8·115 = 625 + 920 = 1545 (not 1575)
- (371,−35): 5·371 + 8·(−35) = 1855 − 280 = 1575, but y is negative (not allowed)
- (81,146.25): 5·81 + 8·146.25 = 405 + 1170 = 1575, but y is not an integer
- (115,125): 5·115 + 8·125 = 575 + 1000 = 1575 and both are nonnegative integers

Thus the viable solution is (115, 125).