# 6.2.4. Proportional Division

Three persons invested in a project; the first person paid 8 800LE, the second paid 2 600LE, and the third paid 3 600LE. If by the end of the year the profit of the first person exceeded that of the second one by 961LE, find the profits of the second and third persons.

• A profit of the second403LE, profit of the third558LE
• B profit of the second403LE, profit of the third
1 364
LE
• C profit of the second
1 364
LE, profit of the third558LE
• D profit of the second
9 761
LE, profit of the third
3 561
LE

### Example

Three friends set up a flowers shop; the first paid 8 800LE, the second paid 2 600LE, and the third paid 3 600LE. At the end of the year, the profit of the first was 961LE more than that of the second. Find the profits of each of the second and the third.

### Solution

Use the amounts paid to make a ratio among three terms. First divide each term by the same number to simplify the ratio. Then use the concept of "the difference of parts" to find the friends' profits.

The second friend's share of the profit LE.

The third friend's share of the profit LE.

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