SOLUTION: tickets sold for 3.50 and students sold for 2.50 321 tickets where sold altogether for the musical at total of 937.50. how many adult tickets where sold

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Question 189437: tickets sold for 3.50 and students sold for 2.50 321 tickets where sold altogether for the musical at total of 937.50. how many adult tickets where sold
Answer by josmiceli(9678) About Me  (Show Source):
You can put this solution on YOUR website!
Let a= number of adult tickets sold
Let s= number of student tickets sold
given:
(1) a+%2B+s+=+321
(2) 3.5a+%2B+2.5s+=+937.5
-----------------------------
Multiply both sides of (1) by 2.5 and
subtract (1) from (2)
(2) 3.5a+%2B+2.5s+=+937.5
(1) -2.5a+-+2.5s+=+-802.5
(3) a+=+135
135 adult tickets were sold
check answer:
(1) a+%2B+s+=+321
(1) 135+%2B+s+=+321
(1) s+=+186
and
(2) 3.5a+%2B+2.5s+=+937.5
(2) 3.5%2A135+%2B+2.5%2A186+=+937.5
(2) 472.5+%2B+465+=+937.5
(2) 937.5+=+937.5
OK