Systems of Equations Word Problems

Question

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?

Answer 1

Let f be the number of forks and s be the number of spoons.

1.70f+1.30s=37.90

5.60f+5.40s=147.20

s = (37.9-1.7f)/1.3

5.6f +5.4(37.9-1.7f)/1.3 = 147.2

7.28f +204.66-9.18f = 191.36 Multiplied through by 1.3

-1.9f = -13.3

f = 13.3/1.9 = 7

s = (37.9-1.7(7))/1.3 =20

They made 7 forks and 20 spoons last April.