SOLUTION: The Blue Mountain High School Drama Club is selling tickets to their spring musical. Adult tickets are $4 and student tickets are $1. A total of 285 tickets are sold for $765. How

Question 572781: The Blue Mountain High School Drama Club is selling tickets to their spring musical. Adult tickets are $4 and student tickets are $1. A total of 285 tickets are sold for $765. How many of each type of ticket are sold?
A) 145 adult, 140 student
B) 120 adult, 165 student
C) 180 adult, 105 student
D) 160 adult, 125 student
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The Blue Mountain High School Drama Club is selling tickets to their spring musical. Adult tickets are $4 and student tickets are $1. A total of 285 tickets are sold for $765. How many of each type of ticket are sold?

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a + s = 285 tickets
4a + 1s = 765
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Multiply thru the 1st equation by 4:
4a + 4s = 4*285
4a + s = 765
------
Subtract and solve for "s":
3s = 375
s = 125 (# of student tickets sold)
---
Solve for a:
a + s = 285
a = 160 (# of adult tickets sold)
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Cheers,
Stan H.
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A) 145 adult, 140 student
B) 120 adult, 165 student
C) 180 adult, 105 student
D) 160 adult, 125 student

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