SOLUTION: the ticket at a dance recital costs $5.00 for adults and $2.00 for children. if the total number of tickets sold was 295 and the total amount collected was $1220, how many adults t

Question 696901: the ticket at a dance recital costs $5.00 for adults and $2.00 for children. if the total number of tickets sold was 295 and the total amount collected was $1220, how many adults ticket and how many children tickets were sold?
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Let A = # of Adult tickets
Let C = # of Child tickets
Equation 1:
Equation 2:
------------------------
Solve equation 1 for one of the variables
Equation 1:

Now plug (295 - C) into equation 2 for A
Equation 2:

Simplify

Combine like terms

Add 3C to both sides

Subtract 1220 from both sides

Divide both sides by 3

Now plug 85 into equation 1 for C
Equation 1:

Subtract 85 from both sides

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