A kitchen supply outfit makes spoons and forks for sale. It costs the store $2 to buy the supplies needed to make a fork and $1 for the supplies to make a spoon. The store sells the forks for $4 and the spoons for $5. Last month they spent $39 on supplies and sold all the forks and spoons they made using those supplies for $93. How many forks and spoons did they make?

Given :

A kitchen supply outfit makes spoons and forks for sale. It costs the store $2 to buy the supplies needed to make a fork and $1 for the supplies to make a spoon. The store sells the forks for $4 and the spoons for $5.

Last month they spent $39 on supplies and sold all the forks and spoons they made using those supplies for $93.

To Find :

How many forks and spoons did the company make.

Solution :

Let, number of forks and spoons the company made are f and s.

For buying from the kitchen the equation is :

2f + s = 39    1)

For selling the equation will be :

4f + 5s = 93  2)

Multiplying equation 1) by 5 and subtracting equation 2) from it we get :

(10f + 5s) - ( 4f + 5s) = 195 - 93

6f = 102

f = 17  and s = 5

Therefore, the company make 17 forks and 5 spoons.

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