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?

Question

03-10-2017
Mathematics

contestada

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?

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coolstick coolstick · Answer 1 · 2017-10-03T16:35:29+02:00

Since the amount of money it costs for the forks are 1.70f (if f is the number of forks, due to that we add 1.70 for each fork) and the spoons is 1.30s (with s being the number of spoons), the total money spent is
1.7f+1.3s=37.9 and the total money made is
5.6f+5.4s=147.20 dollars (since forks sell for 5.6 dollars and spoons 5.4)

Multiplying the first equation by -5.4/1.3 and adding it to the second, we end up with -1.46153846154f=-10.2307692308 and by dividing both sides by -1.46153846154, we get f=7. Plugging that into 1.7f+1.3s=37.9, we get 1.7*7+1.3s=37.9. Subtracting 1.7*7 from both sides and then dividing them by 1.3, we end up with (37.9-1.7*7)/1.3=s=20