Four boys shared a certain amount of money.The first received 1/6 of it, the second 1/8, and the third got 1/2. If the fourth received 55, how much was the total money?

264

270

380

490

Let total money be X

According to the question, we have the equation:

x/6 + x/8 + x/2 + 55 = x

Multiply through by 24 to eliminate the fractions, we get:

4x + 3x + 12x + 1320 = 24x

19x + 1230 = 24x

Subtracting 19x from both sides.

we have:

1320 = 5x

Dividing both sides by 5, we get:

x = 264