SOLUTION: Prices for the movie were $4.00 for children and $8.00 for adults. The total amount of ticket sales was $1,176. There were 172 tickets sold. How many adult tickets were sold?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Prices for the movie were $4.00 for children and $8.00 for adults. The total amount of ticket sales was $1,176. There were 172 tickets sold. How many adult tickets were sold?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 469347: Prices for the movie were $4.00 for children and $8.00 for adults. The total amount of ticket sales was $1,176. There were 172 tickets sold. How many adult tickets were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c = number of children's tickets sold
Let a = number of adult tickets sold
given:
(1) +4c+%2B+8a+=+1176+
(2) +c+%2B+a+=+172+
--------------
Multiply both sides of (2) by +4+, and
subtract (2) from (1)
(1) +4c+%2B+8a+=+1176+
(2) +-4c+-+4a+=+-688+
+4a+=+488+
+a+=+122+
122 adult tickets were sold
check answer:
(2) +c+%2B+a+=+172+
(2) +c+=+172+-+a+
(2) +c+=+172+-+122+
(2) +c+=+50+
and
(1) +4c+%2B+8a+=+1176+
(1) +4%2A50+%2B+8%2A122+=+1176+
(1) +200+%2B+976+=+1176+
(1) +1176+=+1176+
OK