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Number Of Earning People

**What was the question?**
Let's suppose there are m men, w women and c children.

As per given data,

**m + w + c = 20 ......(1)**

**3m + 1.5w + 0.5c = 20 .....(2)**

Multiply equation **(1)** by **3** and then** subtracting** from **(2)**, we get,

**5m + 2w = 20.**

For m and w to be whole numbers, m must be 2 and w must be 5 satisfying above equation.

Hence, from (1),

**c = 20 - 2 - 5 = 13.**
** **

To conclude, there are **2 men**,** 5 women** and **13 children.**

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