SOLUTION: At the local grocery store, apples are $1.20 per pound and oranges are $1.80 per pound. If the grocer wants to offer a 1.57-pound bag of mixed fruit for $1.62 per pound, how many p

Question 906513: At the local grocery store, apples are $1.20 per pound and oranges are $1.80 per pound. If the grocer wants to offer a 1.57-pound bag of mixed fruit for $1.62 per pound, how many pounds of apples must he use?

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+b=1.57,
1.2*a+1.8*b=1.62*1.57
a=1.57-b
1.2*(1.57-b)+1.8*b=2.5434
1.884-1.2b+1.8*b=2.5434
0.6*b=0.6594
b=1.099
a=1.57-b
a=0.471 lb. at $1.20
b=1.099 lb. at $1.80
check
1.2*0.471+1.8*1.099=1.62*1.57
0.5652+1.9782=2.5434
2.5434=2.5434
ok

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