SOLUTION: Robin shares Rs18,000 among the members of his family. On a pie chart, the son gets 144 degrees and his daughter received 1/3 of the amount of money that the wife received. How muc

Algebra ->  Finance -> SOLUTION: Robin shares Rs18,000 among the members of his family. On a pie chart, the son gets 144 degrees and his daughter received 1/3 of the amount of money that the wife received. How muc      Log On


   

Question 995425: Robin shares Rs18,000 among the members of his family. On a pie chart, the son gets 144 degrees and his daughter received 1/3 of the amount of money that the wife received. How much money did the wife receive?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Robin shares Rs18,000 among the members of his family.
On a pie chart, the son gets 144 degrees and his daughter received 1/3 of the amount of money that the wife received.
How much money did the wife receive?
:
let w = amt the wife gets
then
1%2F3w = amt the daughter gets
:
Find how much the son gets
144%2F360 * 18000 = $7200
:
w + 1%2F3w + 7200 = 18000
4%2F3w = 18000 - 7200
4%2F3w = 10800
multiply both sides by 3
4w = 32400
w = 32400%2F4
w = $8100 for the wife
:
:
see if that adds up (daughter gets 1/3 of 8100)
7200 + 8100 + 2700 = 18000