muscrat123
  • 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?
Mathematics
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SOLVED
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katieb
  • katieb
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muscrat123
  • muscrat123
@Hero
Compassionate
  • Compassionate
This is asking for a system of equations, am I right? Are you familiar with system of equations?
muscrat123
  • muscrat123
yea and yea. i know how to do this stuff, its just this one problem

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Compassionate
  • 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
  • muscrat123
i have that
Compassionate
  • Compassionate
Would you like to clarify which part you're having trouble with so I may be more direct?
muscrat123
  • 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
  • muscrat123
my teacher said that part was right
Hero
  • Hero
I agree with @muscrat123 setup
Compassionate
  • 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
  • muscrat123
sure give me like 10 mins is that ok? i have to do something else first.
Compassionate
  • Compassionate
I'll here. Just remember, time waits for no one.
muscrat123
  • muscrat123
what does i'll here mean?
Compassionate
  • Compassionate
It means my keyboard is messed up. I'll be here.
muscrat123
  • muscrat123
oh ok
muscrat123
  • muscrat123
i got 7 forks and 20 spoons f = 7 s = 20
muscrat123
  • muscrat123
thanks guys
Hero
  • Hero
Great job @musicrat and @Compassionate
Compassionate
  • Compassionate
That's correct @muscrat123 ! Thanks, @Hero
muscrat123
  • muscrat123
thanks i cant believe i missed that

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