SOLUTION: Cleo and diana were given the same amount of money each day. Cleo spent 4/7 of her money and diana spent 2/3 of her money each day.they saved the rest of their money. After a week,

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Cleo and diana were given the same amount of money each day. Cleo spent 4/7 of her money and diana spent 2/3 of her money each day.they saved the rest of their money. After a week,      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1048975: Cleo and diana were given the same amount of money each day. Cleo spent 4/7 of her money and diana spent 2/3 of her money each day.they saved the rest of their money. After a week, cleo saved 56 dollars more than diana.
how much money did cleo spend a day
how much money did diana spend a day
thanks
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Cleo is given c dollars each day.
Diana is given d dollars each day.

Seven days, Cleo saved 7%2A%283%2F7%29c.
Seven days, Diana saved 7%2A%281%2F3%29d.
Cleo saved 56 dollars more than Diana: 3c-7d%2F3=56.

ALSO described is that c=d. Use some other variable to take care of both of these. Let this amount of money given to each be g.

highlight_green%283g-7g%2F3=56%29
'
%283-7%2F3%29g=56
%289-7%29g=3%2A56
2g=3%2A56
g=3%2A28
highlight%28g=84%29