SOLUTION: If 113 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $395, how many of each went to the concer

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If 113 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $395, how many of each went to the concer      Log On


   

Question 803317: If 113 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $395, how many of each went to the concert?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If 113 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $395, how many of each went to the concert?
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Quantity Eq:: a + c = 113 tickets
Value Eq:::: 4a +3.25c = 395 dollars
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Modify for elimination:
4a +4c = 452
4a +3.25c = 395
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Subtract and solve for "c":
0.75c = 57
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c = 76 (# of child tickets sold)
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Solve for "a":
a + c = 113
a +76 = 113
a = 37 (# of adult tickets sold)
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Cheers,
Stan H.
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