All 500 seats to the Friday Night Seniors' Play were sold, and a total of $3312.50 was collected. If adult ticket cost 7.50 each and Senior tickets cost $4 each, how many bills of each type were sold?

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Mathematics

3 October, 12:59

All 500 seats to the Friday Night Seniors' Play were sold, and a total of $3312.50 was collected. If adult ticket cost 7.50 each and Senior tickets cost $4 each, how many bills of each type were sold?

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Answers (2)

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Cayden Ashley · Answer 1

A + s = 500 ... a = 500 - s

7.5a + 4s = 3312.50

7.5 (500 - s) + 4s = 3312.50

3750 - 7.5s + 4s = 3312.50

-7.5s + 4s = 3312.50 - 3750

-3.5s = - 437.50

s = - 437.50/-3.5

s = 125 < = = = 125 senior tickets

a = 500 - s

a = 500 - 125

a = 375 < = = = 375 adult tickets

Stich · Answer 2

Yes that's right but how do we know it's not s=375 and a=124