SOLUTION: The Thrifty Coffee Shop blends coffee worth $3.00 per pound with coffee worth $4.25 per pound for a blend worth $3.50. The weight of $4.25 per pound coffee was of the weight of the

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Question 982236: The Thrifty Coffee Shop blends coffee worth $3.00 per pound with coffee worth $4.25 per pound for a blend worth $3.50. The weight of $4.25 per pound coffee was of the weight of the $3.00 per pound coffee. How many pounds of each was used to make a mixture with a total value of
$140?
P.s thank you for your help

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Why is this description included?
The weight of $4.25 per pound coffee was of the weight of the $3.00 per pound coffee.

The weights of the two coffees in the blend could be unequal. Looking at the expected price of the blend to be prepared, the amounts of coffee will surely be unequal.

One variable in use:
u, the quantity of the cheaper, $3.00/pound coffee.
Wanted, 140 dollar cost of the blend.
$3.50/pound, the wanted PRICE of the blend.

140%2Adollars%2A%281%2F3.50%29%28pounds%2Fdollar%29=40%2Apound------this is how much of the blend to make.

THIS shows account of the COST of the blend:
highlight%283.00%2Au%2B4.25%2A%2840-u%29=140%29
Do the algebra steps.

-----------------------------------
highlight%28u=24%29 the $3.00/pound coffee
highlight%2840-u=16%29 the $4.25/pound coffee
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