SOLUTION: 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

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Question 1065009: 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
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
This is for getting the ratios only... 
ali   :   bala   :   charlie
7     :    6     :    c
a     :    4     :    5



The 6 and the 4 parts in the different ratio list mean the way the two ratios are related is 3 to 2.
Find a using of 7.
Find c using of 5.
ali   :   bala   :   charlie
7     :    6     :    7.5
4&2/3 :    4     :    5


The two ratios are the same. 

7 : 6 : 7.5
same as 
 : 4 : 5
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
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
Let amount received by Ali, Bala, and Charlie, be A, B, and C, respectively
Then:  ------ eq (i)
Also,  ------- eq (ii)
We then get: 
12B + 14B + 15B = 3,936 ------- Multiplying by LCD, 12
41B = 3,936
B, or amount Bala received = 

 ------- Substituting 96 for B in eq (i)
A, or amount received by Ali = 
 
 ------- Substituting 96 for B in eq (ii)
C, or amount received by Charlie =

Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.
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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let A be the number of marbles Ali received.

Then Bala received is .

Then Charlie received  =  = .

The equation for the total is 

 = 328.

 = 328,

 = 328,

 = 328  --->  A =  = 112.

Then B =  = 96,  C =  = 120.

Check.  112 + 96 + 120 = 328.

Answer.  A= 112,  B= 96,  C= 120.


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