Question

Molly's Custom Kitchen Supplies sells homemade 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?

Answer 1

@Hero

Answer 2

This is asking for a system of equations, am I right? Are you familiar with system of equations?

Answer 3

yea and yea. i know how to do this stuff, its just this one problem

Answer 4

"Molly's Custom Kitchen Supplies sells homemade 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?"

So it costs the store: 1.70 and 1.30

f = 1.70
s = 1.30

f + s = 37.90

1.70f + 1.30s = 37.90

In theory, if you solve the system, you can plug each term in and found out how many forks and spoons they bought, then divide it by the sell price

Answer 5

i have that

Answer 6

Would you like to clarify which part you're having trouble with so I may be more direct?

Answer 7

well i have this:

1.70f + 1.30s = 37.90
5.60f + 5.40s = 147.20

i dont know where to go from there

Answer 8

my teacher said that part was right

Answer 9

I agree with @muscrat123 setup

Answer 10

Let's see....

Cost
1.70f + 1.30s = 37.90

Revenue
5.60x + 5.40y = 147.20

So now we have two equations, and we can solve either by either a system of elimination or substitution. It looks like elimination would be easier her, as substitution often requires a variable to already be found

1.70f + 1.30s = 37.90
5.60 + 5.40 = 147.20

If I can multiply our first equation by 5.6 and the second by 1.7, I can cancel some variables

9.52f + 7.28s = 212.24
9.52f+ 9.18s = 250.24

Now I can subtract the first equation from the second. Now that I've set it up, do you think you can show me some work?

Answer 11

sure give me like 10 mins is that ok? i have to do something else first.

Answer 12

I'll here. Just remember, time waits for no one.

Answer 13

what does i'll here mean?

Answer 14

It means my keyboard is messed up. I'll be here.

Answer 15

oh ok

Answer 16

i got 7 forks and 20 spoons

f = 7
s = 20

Answer 17

thanks guys

Answer 18

Great job @musicrat and @Compassionate

Answer 19

That's correct @muscrat123 !

Thanks, @Hero

Answer 20

thanks i cant believe i missed that