SOLUTION: birdseed cost $0.69 a pound and sunflower costs $0.99 a pound, they want to make a 50 pound mixture of them that sells for $0.91 per pound. how many pounds of birdseed And sunflowe

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Question 1078685: birdseed cost $0.69 a pound and sunflower costs $0.99 a pound, they want to make a 50 pound mixture of them that sells for $0.91 per pound. how many pounds of birdseed And sunflower seed should they use

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of birdseed needed
Let +b+ = pounds of sunflower seed needed
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(1) +a+%2B+b+=+50+
(2) +%28+.69a+%2B+.99b++%29+%2F+50+=+.91+
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(2) +.69a+%2B+.99b+=+45.5+
(2) +69a+%2B+99b+=+4550+
-----------------------------
Multiply both sides of (1) by +69+
and subtract (1) from (2)
(2) +69a+%2B+99b+=+4550+
(1) +-69a+-+69b+=+-3450+
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+30b+=+1100+
+b+=+36.67+
and
(1) +a+%2B+36.67+=+50+
(1) +a+=+13.33+
13.33 pounds of birdseed are needed
36.67 pounds of sunflower seed are needed
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check:
(2) +%28+.69a+%2B+.99b++%29+%2F+50+=+.91+
(2) +%28+.69%2A13.33+%2B+.99%2A36.67++%29+%2F+50+=+.91+
(2) +%28+9.1977+%2B+36.3033+%29+%2F+50+=+.91+
(2) +45.501+=+.91%2A50+
(2) +45.501+=+45.5+
OK