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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = # of Adult tickets
Let C = # of Child tickets
Equation 1: A+%2B+C+=+295
Equation 2: 5A+%2B+2C+=+1220
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Solve equation 1 for one of the variables
Equation 1: A+%2B+C+=+295
A+=+295+-+C
Now plug (295 - C) into equation 2 for A
Equation 2: 5A+%2B+2C+=+1220
5%2A%28295+-+C%29+%2B+2C+=+1220
Simplify
1475+-+5C+%2B+2C+=+1220
Combine like terms
1475+-+3C+=+1220
Add 3C to both sides
1475+=+1220+%2B+3C
Subtract 1220 from both sides
255+=+3C
Divide both sides by 3
highlight%2885+=+C%29
Now plug 85 into equation 1 for C
Equation 1: A+%2B+C+=+295
A+%2B+%2885%29+=+295
Subtract 85 from both sides
highlight_green%28A+=+210%29