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Twenty men, women and children earn twenty coins between them. Each man earns 3 coins, each woman 1.5 coins and each child 0.5 coin.
How many men, women and children are there?
Find number of each of them here!
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.
