SOLUTION: A miniature golf course charges different prices for adults and children. On Saturday, 50 adults and 50 children played, and the golf course earned $800. On Sunday, 65 adults and

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Question 1135347: A miniature golf course charges different prices for adults and children. On Saturday, 50 adults and 50 children played, and the golf course earned $800. On Sunday, 65 adults and 75 children played, and the golf course earned $1100. How much does the golf course charge for adults?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = charge for adults
Let +b+ = charge for children
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(1) +50a+%2B+50b+=+800+
(1) +a+%2B+b+=+16+
and
(2) +65a+%2B+75b+=+1100+
(2) +13a+%2B15b+=+220+
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Multiply both sides of (1) by +13+
and subtract (1) from (2)
(2) +13a+%2B15b+=+220+
(1) +-13a+-+13b+=+-208+
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+2b+=+12+
+b+=+6+
and
(1) +a+%2B+6+=+16+
(1) +a+=+10+
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The golf course charges $10 for adults
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check answers by plugging back into original equations

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y, price for adults
x, price for children

system%2850x%2B50y=800%2C75x%2B65y=1100%29

system%28x%2By=16%2C15x%2B13y=220%29

15%2AE1:
system%2815x%2B15y=240%2C15x%2B13y=220%29

E1-E2:
2y=20
highlight%28y=10%29