Question 273593
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It cost 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?


fork-----------------------spoon-------------------- total

1.7-------------------------1.3---------------------37.90

5.6-------------------------5.40--------------------147.20


let the number of forks sold be x and number of spoons sold be y


Cost equation

1.7x+1.3y=37.90-------------1

Sales equation

5.6x+5.4y = 147.20------------2

Multiply equation 1 by 5.6 and equation 2 by 1.7


9.52x+7.28y=212.24------------1
9.52x+9.18y=250.24-------------2

subtract 2 from 1

-1.9y=-38

y=-38/-1.9
y=20  the number of spoons

substitute the value of x in equation 1

x=7 the number of forks