SOLUTION: 500 people were at cinema house. some of them paid 15cents. and the rest paid 20cents. of the total cash collected was $91, find the number of the 15 cents

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Question 1124508: 500 people were at cinema house. some of them paid 15cents. and the rest paid 20cents. of the total cash collected was $91, find the number of the 15 cents
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = 15 cent payers
Let +b+ = 20 cent payers
—————————-
(1) +a+%2B+b+=+500+
(2) +.15a+%2B+.2b+=+91+
————————————-
(2) +15a+%2B+20b+=+9100+
Multiply both sides of (1) by +15+
and subtract (1) from (2)
(2) +15a+%2B+20b+=+9100+
(1) +-15a+-+15b+=+-7500+
———————————————
+5b+=+1600+
+b+=+320+
And
(1) +a+%2B+320+=+500+
(1) +a+=+180+
————————————
There were 180 15 cent payers