SOLUTION: Tom and Jerry share out a certain sum of money in the ratio 5:4 respectively, Tom ends up with 275 $. How much money was shared out??

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Question 382204: Tom and Jerry share out a certain sum of money in the ratio 5:4 respectively, Tom ends up with 275 $.
How much money was shared out??
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Tom and Jerry share out a certain sum of money in the ratio 5:4 respectively,
Tom ends up with 275 $.
How much money was shared out??
:
let x = total amt
:
Tom's money is 5%2F9 of the total, therefore:
5%2F9x = 275
multiply both sides by 9
5x = 9*275
5x = 2475
x = 2475%2F5
x = $495 total was shared out
:
:
Check by finding Jerry's share: 4%2F9*495 = 220
275%2F220 = 1.25 which is 5%2F4