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the owner of a candy storewants to sell, for $6 per pound, a mixture of chocalat

ID: 3090735 • Letter: T

Question

the owner of a candy storewants to sell, for $6 per pound, a mixture of chocalate-coveredraisins, which usually sells for $3 per pound, andchococate-covered macadamia nuts, which usually sells for $8 perpound. they have a 60-pound barrel of the raisins. how many poundsof the nuts should they mix with the barrel of raisins so that theyhit their target value of $6 per pound for the mixture?

Explanation / Answer

x = pounds of raisin y= pound of nuts x+y=60 >>>>x=60-y total price per pound=total price/total weight 6=(3x+8y)/(60) 6=(3x+8y)/60 360=3x+8y 360=3(60-y)+8y 360=180-3y+8y 180=5y 36=y so 36 lbs of nuts and 24 lbs of raisins