Molly's custom kitchen supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supples to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks fr $5.60 and spoons for $5.40. Last April Molly's custom kitchen supples 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?

Question

Sweetums

Mathematics

16 August, 21:33

Molly's custom kitchen supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supples to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks fr $5.60 and spoons for $5.40. Last April Molly's custom kitchen supples 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?

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Charisma · Answer 1

Let the no of forks be x and no of spoon be y

1.7x + 1.3y = 37.9

5.6x + 5.4y = 147.2

solving for x and y, we get

multiplying eqn 1 by 5.6 and equation 2 by 1.7 we get

9.52x + 7.28y = 212.24

9.52x + 9.18y = 250.24

subsrtracting eqns we get

7.28y - 9.18y = 212.24 - 250.24

1.9y = 38

y = 20

x = (37.9 - 1.3*20) / 1.7

= 7