Question 1152221: At a concert in Ferryland, Sarah sold two types of tickets, adult tickets & children’s tickets. In total they sold 29 tickets and collected $579.25. If each adult ticket was $25.25 and each children’s ticket was $12.50, how many of each did they sell?
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! At a concert in Ferryland, Sarah sold two types of tickets, adult tickets & children’s tickets. In total they sold 29 tickets and collected $579.25. If each adult ticket was $25.25 and each children’s ticket was $12.50, how many of each did they sell?
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A + C = 29
2525A + 1250C = 57925
etc
Answer by MathTherapy(10557)  (Show Source):
You can put this solution on YOUR website!
At a concert in Ferryland, Sarah sold two types of tickets, adult tickets & children’s tickets. In total they sold 29 tickets and collected $579.25. If each adult ticket was $25.25 and each children’s ticket was $12.50, how many of each did they sell?
Let number of adults' and children's tickets sold be A, and C, respectively
Then we get: A + C = 29____C = 29 - A ----- eq (i)
Also, 25.25A + 12.5C = 579.25_____25(1.01A + .5C) = 25(23.17)_____1.01A + .5C = 23.17 ------- eq (ii)
1.01A + .5(29 - A) = 23.17 ------- Substituting 29 - A for C in eq (ii)
1.01A + 14.5 - .5A = 23.17
1.01A - .5A = 23.17 - 14.5
.51A = 8.67
A, or amount of adults' tickets sold = 
You should be able to find the number of children's tickets sold!
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