SOLUTION: 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 Ell

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
:
let w = no. of weeks in which they added to their account
:
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
:
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

RELATED QUESTIONS
Mary has 200 knitted squares. Sue has 5000 knitted squares. Mary makes 20 knitted... (answered by vleith)

Pam and Sue left their house at the same time and headed in opposite directions. After 4... (answered by stanbon)

if lew and sue agree on a schedule for cleaning their rooms.lew will clean once every 3... (answered by josmiceli)

Mary has 200 knitted squares. Sue has 5000 knitted squares. Mary makes 20 knitted... (answered by Theo)

Christiana and Marlena opened their first savings accounts on the same day. Christiana... (answered by ankor@dixie-net.com)

Ellen and Kate raced on their bicycles to the library after school. They both left... (answered by josgarithmetic)

Ellen and Kate raced on their bicycles to the library after school. They both left school (answered by stanbon,josmiceli)

Here's my question: Pearly and Peggy Sue left their dorm room at the same time and... (answered by jorel555,MathTherapy)

My teacher is very hard to understand sometimes so please let me know if for some reason... (answered by ankor@dixie-net.com)