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Question 381008: ye olde candy shoppe wants to make a candy mixture with gummy bears and gumdrops. Gummy bears cost $3.25 per pound, and gumdrops cost $4.25 per pound. If Ye olde candy shoppe wishes to make a 60-pound batch which costs $3.70 per pound, how many pounds of each type of candy are needed?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! ye olde candy shoppe wants to make a candy mixture with gummy bears and gumdrops. Gummy bears cost $3.25 per pound, and gumdrops cost $4.25 per pound. If Ye olde candy shoppe wishes to make a 60-pound batch which costs $3.70 per pound, how many pounds of each type of candy are needed?
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Using 2 equations with 2 variables you get:
Equations:
Quantity Eq::: b + g = 60 lbs.
Value Eq::::::325b + 425g = 370*60 cents
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Multiply thru the Quantity Eq. by 325 to get:
325b + 325g = 325*60
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Subtract that from the Value Equation and solve for "g":
100g = 45*60
g = 27 (# of lbs. of gum drops needed in the mixture)
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Substitute into b+g = 60 to solve for "b":
b + 27 = 60
b = 33 (# of lbs. of bears needed in the mixture)
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Cheers,
stan H.
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