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Coffee A costs 75 cents per pound. It is mixed with Coffee B, which normally costs 80 cents per pound, to form a mixture that costs 78 cents per pound. If there are 10 pounds of the mix, how many pounds of Coffee A were used in the mix?

Coffee A costs 75 cents per pound. It is mixed with Coffee B, which normally costs 80 cents per pound, to form a mixture that costs 78 cents per pound. If there are 10 pounds of the mix, how many pounds of Coffee A were used in the mix? Correct Answer 4

Let the amount of coffee A and coffee B mixed be A  and (10 - A)  pounds respectively. Now,  A×75 + (10 - A)×80  = 10×78 or,  75A + 800 - 80A = 780 or,  80A - 75A = 800 - 780 or,  5A = 20 or,  A = 4 pounds

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