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.