SOLUTION: My teacher is very hard to understand sometimes so please let me know if for some reason the question doesnt make sense. I am typing it word for word. "Joe and Sue have agreed t

Question 505904: My teacher is very hard to understand sometimes so please let me know if for some reason the question doesnt make sense. I am typing it word for word.
"Joe and Sue have agreed to pool their savings when they have saved the same amount of money. Joe can save $125 a week but he must use his first $375 to pay off his car. Sue has been saving $75 a week for 13 weeks already. When will they pool their savings? How much will they each have saved?"
My guess is they will pull their savings at week 6 and they will each have $375.
Thank you so much,
Gabby
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
"Joe and Sue have agreed to pool their savings when they have saved the same amount of money.
Joe can save $125 a week but he must use his first $375 to pay off his car.
Sue has been saving $75 a week for 13 weeks already.
When will they pool their savings? How much will they each have saved?"
:
Not so well written, here's the way I understand it:
:
let w = no. of weeks for them to have equal amts
:
j = 125w - 375; Joes equation
:
s = 75w + 13(75)
s = 75w + $975; Sue's equation
:
J.s amt = S.s amt
125w - 375 = 75w + 975
125w - 75w = 975 + 375
50w = 1350
w =
w = 27 weeks
:
:
Let's see if that checks out, find out how much each has saved:
125(27) - 375 = $3000
75(27) + 975 = $3000
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