# 6.2.4. Proportional Division

Three people opened a restaurant; the first paid LE, the second paid LE, and the third paid LE. At the end of the first year, the restaurant lost LE which was deducted from the capital. Calculate the capital of each person at the beginning of the second year.

• A capital of the first LE, capital of the second LE, capital of the third LE
• B capital of the first LE, capital of the second LE, capital of the third LE
• C capital of the first LE, capital of the second LE, capital of the third LE
• D capital of the first LE, capital of the second LE, capital of the third LE

### Example

Three people opened a restaurant; the first paid LE, the second paid LE, and the third paid LE. At the end of the first year, the restaurant lost LE which was deducted from the capital. Calculate the capital of each person at the beginning of the second year.

### 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 sum of parts" to find the capital of each person at the beginning of the second year by distributing the remaining money. (The remaining money .)

The capital of the first person LE.

The capital of the second person LE.

The capital of the third person LE.

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