Systems of Linear Functions word problem

Question

Kiara's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $2 to buy the supplies to make a fork and $1 to buy the supplies to make a spoon. The store sells forks for $6 and spoons for $6. Last month, they spent $48 on materials for forks and spoons. They sold the finished products for a total $186. How many forks and how many spoons did they make last month? Type your answer as #forks,#spoons with no spaces; for example 1,2. Show work

Answer 1

2F + S = 48

6F +S = 186

F + S = 31, subtract from 1st equation to solve for F

F = 17 forks, 31-17 = 14

S =14 spoons

17forks,14spoons