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- muscrat123

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?

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- muscrat123

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- muscrat123

- Compassionate

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

- muscrat123

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

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- Compassionate

"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

- muscrat123

i have that

- Compassionate

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

- muscrat123

well i have this:
1.70f + 1.30s = 37.90
5.60f + 5.40s = 147.20
i dont know where to go from there

- muscrat123

my teacher said that part was right

- Hero

I agree with @muscrat123 setup

- Compassionate

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?

- muscrat123

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

- Compassionate

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

- muscrat123

what does i'll here mean?

- Compassionate

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

- muscrat123

oh ok

- muscrat123

i got 7 forks and 20 spoons
f = 7
s = 20

- muscrat123

thanks guys

- Hero

Great job @musicrat and @Compassionate

- Compassionate

That's correct @muscrat123 !
Thanks, @Hero

- muscrat123

thanks i cant believe i missed that

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