SOLUTION: a small art museum charges $5 for an adult ticket and $3 for a student ticket . at the end of the day the museum sold 81 tickets and made $371. how many of each type of ticket did
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-> SOLUTION: a small art museum charges $5 for an adult ticket and $3 for a student ticket . at the end of the day the museum sold 81 tickets and made $371. how many of each type of ticket did
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Question 1165695: a small art museum charges $5 for an adult ticket and $3 for a student ticket . at the end of the day the museum sold 81 tickets and made $371. how many of each type of ticket did the museum sell? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! let a = no. of adult tickets ($5)
let s = no. of student tickets ($3)
:
A small art museum charges $5 for an adult ticket and $3 for a student ticket .
at the end of the day the museum sold 81 tickets and made $371.
a + s = 81
5a + 3s = 371
:
multiply the 1st equation by 3, subtract from 2nd equation
5a + 3s = 371
3a + 3s = 243
---------------Subtraction eliminates s, find a
2a + 0 = 128
a = 128/2
a = 64 adult tickets
find s
81 - 64 = 17 students
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:
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Check using the 2nd equation
5(64) + 3(17) =
320 + 51 = 371
