Math word problem

Question

Rodney’s Kitchen Supplies makes and sells spoons and forks. It costs the store $2 to buy the supplies needed to make a fork, and $1 for the supplies needed to make a spoon. The store sells the forks for $4 and the spoons for $5. Last month Rodney’s Kitchen Supplies spent $39 on supplies and sold the all of the forks and spoons that were made last month using those supplies for $93. How many forks and spoons did they make?

Answer 1

f = 2, s = 1

F= 4, S = 5

39 = 2f + s

93 = 4f + 5s

195 = 10f +5s

subtract 2nd to last from last equation

102 - 6f

f = 102/6 = 17 forks

s = 39 -2(17) = 39-34 = 5 spoons