i have a word problem on systems of equations that i am completely lost on. my teacher says i have the right setup, i just need to eliminate a variable, which i know how to do, but im stuck on this question. HELP!!!!!!!!! Will MEDAL AND FAN
will post question once i have help
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?

- muscrat123

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- imqwerty

ok :)

- imqwerty

kay :)

- imqwerty

yea m jst helpin some other ppl too :) i'll come back as soon as i get notification :)

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- imqwerty

(:

- muscrat123

mmk. what i have so far is this:
1.70f + 1.30s = $37.90
5.60f + 5.40 = 147.20
my teacher says this is correct, i just need to evaluate now, and im stuck @imqwerty

- muscrat123

@imqwerty

- muscrat123

k im back

- imqwerty

ok there is a typo that shuld be 5.40s

- muscrat123

yeaa sorry i was in a rush but yea thats wat its supposed to say

- imqwerty

np :)

- imqwerty

1.70f + 1.30s = $37.90
1.7f=37.9-1.3s
f=(37.9-1.3s)/1.7
substitute this value of f in the second equation and u'll get the value of s
then put the value of s in any of these equations to get the value of f

- muscrat123

idunderstand @imqwerty

- imqwerty

did u get how we took out the value of f in terms of s ?

- muscrat123

no do u know algebra nation?

- imqwerty

no

- muscrat123

whelp...we use the elimination method, elimination multiple, and the substitution method to solve this. we havent learned that way

- imqwerty

ok lets do it that way

- muscrat123

YAY!

- muscrat123

do u know how?

- muscrat123

?

- imqwerty

1.70f + 1.30s = $37.90
multiply this equation by 5.6/1.7
u get-
(5.6/1.7)1.7f+(5.6/1.7)1.3s=(5.6/1.7)37.9
5.6f+(5.6/1.7)1.3s=(5.6/1.7)37.9
now subtract this equation from the second equation to eliminate 5.6f :)
and then u'll be left with an equation with s.. can u solve it now?

- muscrat123

?

- muscrat123

imust seem really stupid, i know how to do this, just not for this problem sorry

- imqwerty

don wrry :)

- muscrat123

can u still help me?

- imqwerty

yea ofc

- muscrat123

kay thx

- imqwerty

so we have this- 5.6f+(5.6/1.7)1.3s=(5.6/1.7)37.9 equation1
and we got another equation-5.60f + 5.40s = 147.20 equation 2
subtracting equation 1 frm 2
u get-
5.60f + 5.40s - [5.6f+(5.6/1.7)1.3s] =147.20 -(5.6/1.7)37.9
5.60f + 5.40s - 5.6f - (5.6/1.7)1.3s = 147.20 -(5.6/1.7)37.9
5.4s-(5.6/1.7)1.3s =147.2 -(5.6/1.7)37.9
can u solve this equation to get s
if ur stuck then don hesitate to ask :P :)

- muscrat123

why are u dividing?

- imqwerty

u mean that 5.6/1.7?

- muscrat123

yea

- imqwerty

well we wanted to finish off the 5.6 f in the second equation by we had a 1.7f in the 1st equation so to make it 5.6f we multiplied the whole equation by 5.6/1.7 :)

- muscrat123

i dont understand

- imqwerty

watch this- https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-systems-of-equations-by-elimination

- muscrat123

i dont hae time, i got a TON of hw

- muscrat123

i guess ill just leave it blank, i have no idea what ur saying

- muscrat123

@Hero

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