A restaurant with two locations buys twelve bags of flour and eight large bags of sugar. Location A receives seven bags of flour and five bags of sugar for a total cost of $584. Location B receives five bags of flour and three bags of sugar for a total cost of $384. What is the cost of each bag of flour and each bag of sugar?

Question

Mathematics

Mayra Pittman

17 September, 07:19

A restaurant with two locations buys twelve bags of flour and eight large bags of sugar. Location A receives seven bags of flour and five bags of sugar for a total cost of $584. Location B receives five bags of flour and three bags of sugar for a total cost of $384. What is the cost of each bag of flour and each bag of sugar?

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Answers (1)

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Brett Foley · Answer 1

You want to solve this set of linear equations by the elimination method.

Let x=price of bag of flour and y=price of bag of sugar

Multiply the first equation by - 3.

-3 (7x+5y=584)

Multiply the second equation by 5.

5 (5x+3y=384)

Solve by elimination.

X=42

Substitute value of x into one of the original equations.

Y=58