SOLUTION: admission to a movie theater is $7 and $5 for children. if the receipts from 200 tickets were $1120, how many adult tickets and how many children's tickets were sold?

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Question 365353: admission to a movie theater is $7 and $5 for children. if the receipts from 200 tickets were $1120, how many adult tickets and how many children's tickets were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = number of adult tickets sold
Let b = number of children's tickets sold
given:
(1) 7a+%2B+5b+=+1120
(2) a+%2B+b+=+200
Multiply both sids of (2) by 5 and subtract
from(1)
(1) 7a+%2B+5b+=+1120
(2) -5a+-+5b+=+-1000
2a+=+120
a+=+60
and
+%2B+b+=+200
b+=+200+-+60
b+=+140
60 adult tickets and 140 children's tickets were sold