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)   (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)   (Show Source): You can put this solution on YOUR website!
Let = pounds of $.68/lb birdseed
Let = pounds of $.98/lb birdseed
---------------------------------------------
(1)
(2)
----------------------------------------
(2)
(2)
Multiply both sides of (1) by and
subtract from (2)
(1)
---------------------------------


and
(1)
(1)
---------------------------------
check answers:
(2)
(2)
(2)
(2)
(2)
OK
check the math

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