SOLUTION: A health food store mixes a breakfast cereal containing granola and dried bananas. Plain granola costs $6.00 per pound. Dried banana slices cost $4.00 per pound. The store makes

Question 178479This question is from textbook algebra
: A health food store mixes a breakfast cereal containing granola and dried bananas. Plain granola costs $6.00 per pound. Dried banana slices cost $4.00 per pound. The store makes up 40 pounds of the new cereal and sells it at $5.80 per pound. How much of each ingredient will go into the 40 pound mixture?This question is from textbook algebra

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(48562) (Show Source):
You can put this solution on YOUR website!
Plain granola costs $6.00 per pound. Dried banana slices cost $4.00 per pound. The store makes up 40 pounds of the new cereal and sells it at $5.80 per pound. How much of each ingredient will go into the 40 pound mixture?
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Equation:
value + value = value
6x + 4(40-x) = 5.80*40
6x + 4*40 - 4x = 5.80*40
2x = 1.8*40
x = 36 lbs. (amt. of $6 granola in the mixture)
40-x = 4 lbs.(amt. of $4 banana slices in the mixture)
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Cheers,
Stan H.

Answer by josmiceli(6786) (Show Source):
You can put this solution on YOUR website!
Let = the pounds of granola needed
Let = the pounds of dried bananas needed
In words:
(cost of granola used) + (cost of bananas used) = total cost
given:
(1)

(2)
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Multiply both sides of (1) by and
subtract from (2)
(2)
(1)

lb
And, from (1)

lb
36 pounds of granola and 4 pounds of bananas are needed
check:
(2)

OK