Question

guys please help me out with th is i need ur help

Answer 1

Hi there !!
Here's your answer

Let the total number of guests be x

We know,

Those who drink colas
$= \frac{1}{4} x = \frac{x}{4}$

Those who drink squash

$= \frac{1}{3} x = \frac{x}{3}$

Those who drink fruit juice

$= \frac{2}{5} x = \frac{2x}{5}$

Those who didn't drink anything = 3

So,
the following balanced equation will be formed

$\frac{x}{4} + \frac{x}{3} + \frac{2x}{5} + 3 = x$

Transposing x to LHS and 3 to RHS,
we have,

$\frac{x}{4} + \frac{x}{3} + \frac{2x}{5} - x = - 3$

Taking 60 as LCM ,
we have,

$\frac{15x + 20x + 24x - 60x}{60} = - 3$

$\frac{ - x}{60} = - 3$

-x = -3 × 60

-x = -180

x = 180

Therefore,
there were total 180 guests

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Hope it helps :D