Question

Gabriella's custom kitchen supplies sells handmade forks and spoons it costs the store 1.20 to buy the supplies to make a fork and 1.20 to buy the supplies to make a spoon the store sells forks for 4.60 and spoons for 4.00 last april her store spent 39.60 on materials for forks and spoons they sold the finishes products for a total of 140.40 how many forks and how many spoons did they make last

Answer 1

14 forks and 19 spoons

Explanation:

Let us represent:

Number of forks = x

Number of spoons = y

Gabriella's custom kitchen supplies sell handmade forks and spoons it costs the store 1.20 to buy the supplies to make a fork and 1.20 to buy the supplies to make a spoon. Last April her store spent 39.60 on materials for forks and spoons

Hence:

1.20x + 1.20y = 39.60.....Equation 1

The store sells forks for 4.60 and spoons for 4.00. They sold the finished products for a total of 140.40.

4.60x + 4.00y = 140.40......Equation 2

Hence:

1.2x + 1.2y = 39.6.....Equation 1

4.6x + 4y = 140.4....Equation 2

Multiply Equation 1 by 4 and Equation 2 by 1.2

4.8x + 4.8y = 158.4...Equation 3

5.52x + 4.8y = 168.48.....Equation 4

We subtract Equation 3 from 4

0.72x = 10.08

x = 10.08/0.72

x = 14 forks

Solving for y using Equation 1

x = 14

1.2x + 1.2y = 39.6.....Equation 1

1.2 × 14 + 1.2y = 39.6

16.8 + 1.2y = 39.6

1.2y = 39.6 - 16.8

1.2y = 22.8

y = 22.8/1.2

y = 19 spoons

Therefore, they made

14 forks and 19 spoons