Question

Some students of a school went for a picnic. Half of them were playing, one third were roaming around and rest 14 were having food. How many children had gone for picnic

Answer 1

Answer: The number of children who went for the picnic is 84

Step-by-step explanation:

Let the total number of children be x.

Given,

The number of children playing = $\frac{1}{2} x$

The number of children roaming around = $\frac{1}{3}x$

The number of children having food = 14

So, we have the equation,

Total number of children, $x = (\frac{1}{2}x + \frac{1}{3}x + 14)$$x - (\frac{1}{2}x + \frac{1}{3}x) = 14$

Now solving the equation for the value x,

$x - (\frac{1}{2}x + \frac{1}{3}x) = 14$

$x - (\frac{3+2}{3*2}x ) = 14\\\\ x - \frac{5}{6}x = 14\\\\\frac{6x-5x}{6} = 14\\\\\frac{x}{6} = 14\\\\x = 14*6 = 84$