Answers

2014-02-19T07:53:53+01:00
First, find the sum of their ratios i.e.  5 + 3 + 2 = 10

The first person received  \frac{5}{10} of the total number of mangoes; the second person received   \frac{3}{10} of the total, and the last person received   \frac{2}{10} .

The person with the smallest ration is the person who received   \frac{2}{10} .

Now, we're asked to find the total number of mangoes shared.
Let's call it m.

If the person who received   \frac{2}{10} of m received 25 mangoes, that means,

 \frac{2}{10}   of  m = 25
 \frac{2}{10}   x  m = 25
 \frac{2m}{10} = 25
2m=250                                                          (cross multiply)
 \frac{2m}{2}   =   \frac{250}{2} (dividing through by 2)
m = 125

There is a total of 125 mangoes.

You can check
 \frac{2}{10}   of  125 = 25
 \frac{3}{10}   of  125 = 37.5
 \frac{5}{10}   of  125 = 62.5

62.5 + 37.5 + 25 = 125










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