SOLUTION: The golf shop that I used to shop at back home sells golf balls by the pound. Top Flite balls sells for $15.00 per pound and Pinnacle balls sell for $12.75 per pound. How many poun

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Question 1008314: The golf shop that I used to shop at back home sells golf balls by the pound. Top Flite balls sells for $15.00 per pound and Pinnacle balls sell for $12.75 per pound. How many pounds of each type of ball would I need to buy to get 20 pounds of golf balls at $13.65 per pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ =pounds of Top Flite balls bought
Let +b+ = pounds of Pinnacle balls bought
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(1) +a+%2B+b+=+20+
(2) +%28+15a+%2B+12.75b+%29+%2F+20+=+13.65+
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(2) +15a+%2B+12.75b+=+273+
(2) +1500a+%2B+1275b+=+27300+
(2) +20a+%2B+17b+=+364+
Multiply both sides of (1) by +20+
and subtrract (2) from (1)
(1) +20a+%2B+20b+=+400+
(2) +-20a+-+17b+=+-364+
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+3b+=+36+
+b+=+12+
and
(1) +a+%2B+b+=+20+
(1) +a+%2B+12+=+20+
(1) +a+=+8+
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8 pounds of Top Flite balls must be bought
12 pounds of Pinnacle balls must be bought
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check:
(2) +%28+15a+%2B+12.75b+%29+%2F+20+=+13.65+
(2) +%28+15%2A8+%2B+12.75%2A12+%29+%2F+20+=+13.65+
(2) +%28+120+%2B+153+%29+%2F+20+=+13.65+
(2) +273+=+13.65%2A20+
(2) +273+=+273+
OK