Answer:
3 spoons were sold last April
Step-by-step explanation:
Let x represent the total number of forks that they made last month.
Let y represent the total number of spoons that they made last month.
It costs the store $1.70 to buy the supplies to make a fork. This means that the cost of making x spoons will be 1.70×x = 1.7x
It costs the store $1.30 to buy the supplies to make a spoon. This means that the cost of making y spoons will be 1.30×y = 1.3y.
Total cost of making x forks and y spoons is 1.7x + 1.3y
Last April Molly's Custom Kitchen Supplies spent $37.90. This means that
1.7x + 1.3y = 37.90 - - - - - - - - - - 1
The store sells forks for $5.60. This means that the total amount for x forks will be 5.60×x = 5.6x
The store sells spoons for $5.40. This means that the total amount for y spoons will be 5.40×y= 5.4y.
Total amount made from selling x forks and y spoons is 5.6x + 5.4y. They sold the finished products for a total of $147.20. This means that
5.6x + 5.4y = 147.20 - - - - - - - -2
Multiplying equation 1 by 5.6 and equation 2 by 1.7, it becomes
9.52x + 7.28y = 212.24
9.52x + 9.18y = 250.24
Subtracting
- 1.9x = - 38
x = - 38/- 1.9
x = 20
Substituting x = 20 into equation 1, it becomes
1.7×20 + 1.3y = 37.90
34 + 1.3y = 37.90
1.3y = 37.90- 34 = 3.9
y = 3.9/1.3
y = 3
