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Durai and Abdul have a total of 328 marbles. Muthu and Durai have 176 marbles altogether. Abdul has 5 times as many as Muthu. How many marbles does Durai have.

User Isaac B
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1 Answer

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Let us assume the number of marbles Muthu has = x
Number of marbles that Abdul has = 5x
Let us assume the number of marbles that Durai has = y
Total number of marbles that Durai and Abdul has = 328
The number of marbles that Muthu and Durai have altogether = 176
Then
5x + y = 328
x + y = 176
Now let us deduce the value of x from the second equation
x + y = 176
x = 176 - y
Now we have to put the value of x into the first equation
5x + y = 328
5(176 - y) + y = 328
880 - 5y + y = 328
- 4y = 328 - 880
- 4y = - 552
4y = 552
y = 552/4
= 138
So it can be seen from the above deduction that Durai has 138 marbles.
User Jinet
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