SOLUTION: Birdseed costs ​$0.68 a pound and sunflower seeds cost ​$0.98 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sun

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Question 1128545: Birdseed costs ​$0.68 a pound and sunflower seeds cost ​$0.98 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.87 per a pound. How many pounds of each type of seed should she​ use?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Birdseed costs ​$0.68 a pound and sunflower seeds cost ​$0.98 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.87 per a pound. How many pounds of each type of seed should she​ use?
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Equation:
value + value = value
0.68x + 0.98(50-x) = 0.87*50
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68x + 98*50 - 98x = 87*50
-30x = -11*50
x = (5/3)11
x = 18.33 lbs (amt of birdseed needed)
50-18.33 = 31.67 (amt of sunflower seed needed)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of $.68/lb birdseed
Let +b+ = pounds of $.98/lb birdseed
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(1) +a+%2B+b+=+50+
(2) +%28+.68a+%2B+.98b+%29+%2F+50+=+.87+
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(2) +.68a+%2B+.98b+=+43.5+
(2) +68a+%2B+98b+=+4350+
Multiply both sides of (1) by +68+ and
subtract from (2)
(1) +-68a+-+68b+=+-+3400+
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+30b+=+950+
+b+=+31.667+
and
(1) +a+=+50+-+31.667+
(1) +a+=+18.333+
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check answers:
(2) +%28+.68a+%2B+.98b+%29+%2F+50+=+.87+
(2) +%28+.68%2A18.333+%2B+.98%2A31.667+%29+%2F+50+=+.87+
(2) +%28+12.4664+%2B+31.0337+%29+%2F+50+=+.87+
(2) +43.5+%2F+50+=+.87+
(2) +43.5+=+43.5+
OK
check the math