SOLUTION: boxes of candy are sold for $12.50 and holds 30 pieces of candy, some creme and others carmel. Carmel cost $0.25 and creams cost $0.45 how many should be made of each to make a $3
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Question 845360: boxes of candy are sold for $12.50 and holds 30 pieces of candy, some creme and others carmel. Carmel cost $0.25 and creams cost $0.45 how many should be made of each to make a $3 profit
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
One would figure that the 3 dollar profit comes from the selling price, so the non-profit part of the selling price is $9.50.
x for count of creme pieces
y for count of carmel pieces
Accounting for price:
Accounting for total pieces per box:
This is a system of two linear equations with two unknowns.
Multiply the price equation by 20.
.
SOLVE THE SYSTEM:
-------------------------
x+y=30
-------------------------
9x+5y=190
-------------------------
Elimination Method, factor of 5 upon the piece count equation,
and from this, .
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ANSWER: 10 creme pieces and 20 carmel pieces.
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