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.

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.