# 6.2.4. Proportional Division

A father distributed LE among his three sons. The first one's share was the third, and the ratio between the share of the second and that of the third is , find the share of each of them.

• A the first's: 143 LE, the second's: 132 LE, the third's: 154 LE
• B the first's: 143 LE, the second's: 198 LE, the third's: 198 LE
• C the first's: 286 LE, the second's: 132 LE, the third's: 132 LE
• D the first's: 286 LE, the second's: 198 LE, the third's: 198 LE

### Example

A father distributed LE among his three sons. The first one's share was the third, and the ratio between the share of the second and that of the third is , find the share of each of them.

### Solution

Step 1: Find the first son's share.

Multiply the total amount distributed by .

Step 2: Use the concept of "the sum of parts" to show how to distribute the remaining money between the second son and the third son. The amount of money remaining is .

The second son's share .

The third son's share .

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