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