SOLUTION: Jimmy is a partner in an Internet-based coffee supplier. The company offers gourmet coffee beans for $12 per pound and regular coffee beans for $6 per pound. Jimmy is creating a

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Question 1042491: Jimmy is a partner in an Internet-based coffee supplier. The company
offers gourmet coffee beans for $12 per pound and regular coffee beans
for $6 per pound. Jimmy is creating a medium-price product that will
sell for $8 per pound. The first thing to go into the mixing bin was 10
pounds of the gourmet beans. How many pounds of the less expensive
regular beans should be added?
please explain each step so I can understand where everything comes from? Thanks

Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The company offers gourmet coffee beans for $12 per pound and regular coffee beans for $6 per pound.
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Jimmy is creating a medium-price product that will
sell for $8 per pound.
The first thing to go into the mixing bin was 10
pounds of the gourmet beans.
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How many pounds of the less expensive
regular beans should be added?
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Note: value = (unit price)*(# of units)
value of gourmet beans = ($12)(10 lbs)
value of regular beans = ($6)(x lbs)
value of the mix is $8(10 lbs + x lbs)
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value + value = value
$12*10 + $6x = $8(10+x)
Solve for "x"::
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12*10 + 6x = 8*10 + 8x
8x-6x = 12*10 - 8*10
2x = 4*10
x = 20 lbs (amt. of $6 beans to add)
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Hope this simple solution procedure is understandable.
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Cheers,
Stan H.
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Answer by ikleyn(52847) About Me  (Show Source):