SOLUTION: a 10-lb mixture of peanuts, cashews, and raisins sell for $14. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $1.50 per pound. The weight of peanuts in the
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Question 830370: a 10-lb mixture of peanuts, cashews, and raisins sell for $14. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $1.50 per pound. The weight of peanuts in the mixture is twice the weight of cashews in the mixture.
A. write a system of equations that represent the problem
B. find the number of pounds of each ingredient in the mixture.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Pounds of peanuts, cashews, raisins as p,c, r.
Prices: 1 dollars per pound peanuts, 2 dollars per pound cashews, 1.50 dollars per pound raisins.
Price of mixture: $14.
.
Accounting for price of mixture: ;
Accounting for pounds: .
Substitute for p in the two accounting equations and simplify:
2c+2c+1.5r=14
4c+1.5r=14
To use all integer coefficients multiply by 2...
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2c+c+r=10
Solve the simultaneous equations highlighted with green.
is the same as ;
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p=2c
p=2*2
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Use either of the accounting equations to find the value for r.
Using 3c+r=10
r=10-3c
r=10-3*2
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