Question 126185:
Answer by gambitfw(1)   (Show Source):
You can put this solution on YOUR website! 12 $2.00 tickets and 8 $4.50 tickets.
Set the formula like this:
Let X = the number of $4.50 tickets, so (20-X)equals the number of $2 tickets.
The amount of money from $4.50 tickets would equal $4.5*(X) and the amount of $2 tickets would be $2*(20-X). Add those values together to equal $60.
(4.5*X) + (2*(20-X)) = 60 (distribute the 2 across the parenthesis)
4.5X + 40 - 2X = 60 (combine like terms)
2.5X + 40 = 60 (subtarct 40 from both sides)
2.5X = 20
X = 8 the number of $4.50 tickets, so (20-8) = 12, the number of $2 tickets.
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