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Question 678649: Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.
A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?
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Using 2 equations:
Quantity: c + p = 10 lbs
Value::: 5.6c + 2.3p = 3.29*10 dollars
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Multiply thru the Quantity Eq. by 560
Multiply thru the Value Eq. by 100
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560c + 560p = 5600
560c + 230p = 3290
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Subtract and solve for "p":
330p = 2310
p = 7 lbs (amt. of peanuts needed)
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Solve for "c" using c+p = 10
c + 7 = 10
c = 3 lbs (amt. of cashews needed)
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cheers,
Stan H.
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