Question

A grocer mixed walnuts worth $1.02 per pound with peanuts worth $0.99 per pound. If she made 69 pounds of a mixture worth $1 per pound, how many pounds of walnuts are in the mixture?

Answer 1

The cost of the mixture is $69 *$1 = $69. If all 69 pounds were peanuts, the cost would be 69*$0.99 = $68.31, which is $0.69 less. Each pound of walnuts used instead of peanuts adds $0.03 to the cost of the mixture, so there were $0.69/$0.03 = 23 pounds of walnuts. 
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Let w represent the number of pounds of walnuts in the mixture. Then 69-w is the number of pounds of peanuts. The cost of the mixture will be 
1.02w + 0.99(69-w) = 1.00*69 dollars 
0.03w + 68.31 = 69.00 
w = (69.00 - 68.31)/0.03 = 0.69/0.03 = 23