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?
Answer: 264
Explanation
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
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