SOLUTION: Mother gave Claire and Jane each a certain amount of money to spend. If Jane spent all her money and Claire spect 3 times as much, Claire would have $100 left. If Jane spent all he

Question 149783: Mother gave Claire and Jane each a certain amount of money to spend. If Jane spent all her money and Claire spect 3 times as much, Claire would have $100 left. If Jane spent all her money and Claire spent 1/3 of what Jane spent, Claire would have $580 left. Find the total amount of money given to Claire and Jane.
Rmks: Pls try not to use algebra.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mother gave Claire and Jane each a certain amount of money to spend.
Clair got "C" ; Jane got "J".
Total received: C + J
----------------------------------
If Jane spent all her money and Claire spent 3 times as much,
Claire would have $100 left.
C - 3J = 100
----------------------------------
If Jane spent all her money and Claire spent 1/3 of what Jane spent, Claire would have $580 left.
C - (1/3)J = 580
-------------------------

Find the total amount of money given to Claire and Jane.
Claire had 3*Jane's amount + $100
Claire had (1/3)*Jane's amount + 580
----------------------------
Those amounts must be the same:
3J + 100 = (1/3)J + 580
(8/3)J = 480
(1/3)J = 60
J = $180 (amount Jane received from her mother)
Since Claire had 3*J + 100, C = 3*180+100 = $640
=========
Total received from mother was 580 + 180 = $760
=================
Cheers,
Stan H.

RELATED QUESTIONS
Jane had $7 and her sister had $2. Their parents gave them each equal amount of money.... (answered by ankor@dixie-net.com)

Hi jane Susan and lily had some money in the ratio of 4:7:5 when susan gave 15 dollars... (answered by josgarithmetic,ikleyn,MathTherapy)

Having some trouble with this 1, any help is apperciated. Question: Dainiela and... (answered by coyote)

ana and gave bill and claire as much money as each had, then bill gave ana and claire as... (answered by Edwin McCravy)

Ana gave Bill and Claire as much as each had,then Bill gave Ana and Claire as much money... (answered by Edwin McCravy)

Tom and Jane get money in a ratio of 2:3 if Tom gets 14$ how much does Jane get (answered by ikleyn)

Jane and Ken had 288 marbles altogether. Jane gave 1/5 of her marbles to Ken. Ken then... (answered by ptaylor)

Al, Betty, and Claire, slipt $1000 among them to be invested in different ways. Each... (answered by ankor@dixie-net.com)

Cleo and diana were given the same amount of money each day. Cleo spent 4/7 of her money... (answered by josgarithmetic)