A sum of money is shared among three people in the ratio 15:18:7. Find the total sum and the largest share, given that the smallest share is $133.
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A sum of money is divided among three persons, X, Y, Z, in the ratio of 10:7:5. If Y gets $14 more than Z, how much will X get & what is the.. total sum of money?
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TUSHAR CHANDRA eNotes educator | CERTIFIED EDUCATOR
Let the amount of money that is divided be C.
It is divided in the ratio 10 : 7 : 5 among X, Y, Z.
This can be written in another way as X gets 10/ 22 of the amount, Y gets 7/22 of the amount and Z gets 5/22 of the amount.
As Y gets $14 more than Z
(7/22)*C - (5/22)*C = 14
=> C*( 2/ 22) = 14
=> C = 14*11
=> C = 154
The amount that X gets is (10/ 22)*154 = 70