Question

A group of kids played only two types of sports during recess. 1/4 of them played
shuttle and 2/3 of them played cricket. 1/6 of the kids played both sports and 90
kids did not play any sports at all. How many kids were there?​

Answer 1

Answer:

360 kids

Step-by-step explanation:

Let:

    x - total number of kids

    x/4 - no. of kids that played shuttle

    2x/3 - no. of kids that played cricket

    x/6 - no. of kids that played both sports

    90 - no. of kids that did not play any sports at all.

Solution:

Using the concept of Venn Diagram:

x = x/4 + 2x/3 - x/6 + 90

12x = 3x + 8x - 2x + 1080

3x = 1080

x = 360