Question 1065009
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328 marbles are to be divided among ali, bala and charlie. the number of marbles recieved by ali and bala are in the ratio of 7:6 
and recieved by  bala and charlie are in the ratio of 4:5 . Calculate the number of marbles recieved by each
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<pre>
Let A be the number of marbles Ali received.

Then Bala received is {{{(6/7)*A}}}.

Then Charlie received {{{(5/4)*(6/7)*A}}} = {{{30/28)*A}}} = {{{(15/14)*A}}}.

The equation for the total is 

{{{A + (6/7)*A + (15/14)*A}}} = 328.

{{{A*(1 + 6/7 + 15/14)}}} = 328,

{{{A*((14 + 12 + 15)/14)}}} = 328,

{{{A*(41/14)}}} = 328  --->  A = {{{(328*14)/41}}} = 112.

Then B = {{{(6/7)*112}}} = 96,  C = {{{(15/14)*112}}} = 120.

<U>Check</U>.  112 + 96 + 120 = 328.

<U>Answer</U>.  A= 112,  B= 96,  C= 120.
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