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Question 1004335: Sue Ellen and Angela both have $510 in their savings now.They opened their accounts on the same day, at which time Sue Ellen started with $70 more than Angela. From then on Sue Ellen added $10 to her account each week, and Angela put in $20 each week. How much money did Sue Ellen open her account with?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Sue Ellen and Angela both have $510 in their savings now.
They opened their accounts on the same day, at which time Sue Ellen started with $70 more than Angela.
From then on Sue Ellen added $10 to her account each week, and Angela put in $20 each week.
How much money did Sue Ellen open her account with?
:
let s = Sue's amt initially
then
(s-70) = Angela's initial amt
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let w = no. of weeks in which they added to their account
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Write an equation for each person
s + 10w = 510
and
(s-70) + 20w = 510
s + 20w = 510 + 70
s +20w = 580
Use elimination with these two equation
s + 20w = 580
s + 10w = 510
-------------------Subtracting eliminates s, find w
10w = 70
w = 7 weeks
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Find s
s + 10(7) = 510
s = 510 - 70
s = $440 amt that Sue started with
:
:
Confirm this by finding amt Angela started with (70less) and finished with
370 + 20(7) = $510 also
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