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?

1. 264
2. 270
3. 380
4. 490

Let’s solve this to find the total amount of money.

1. Identify the remaining share:

• The first boy received 1/6.
• The second boy received 1/8.
• The third boy received 1/2.
• Together, they received 1/6 + 1/8 + 1/2 = 4/24 + 3/24 + 12/24 = 19/24 of the total money.
• This means the fourth boy received the remaining 1 – 19/24 = 5/24 of the total money.

2. Set up a proportion:

• We know the fourth boy received 5/24 of the total, which is equal to $55.
• We can set up a proportion: 5/24 = $55 / x (where x is the total amount).

3. Solve for x (total amount):

• Cross-multiply: 5 * x = 24 * $55
• Divide both sides by 5: x = (24 * $55) / 5
• Simplify: x = $264

Therefore, the total amount of money the four boys shared was $264.

So the answer is 264.