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.
