Question

Joy organised a large wedding . Guests had to choose their meals from beaf ,chicken or vegetarian. 1/3 of the guests chose beaf 5/12 of the guests chose chicken 69 people chose vegetarian how much people were at the wedding.

Answer 1

Answer

Find out the how much people were at the wedding.

To prove

Let us assume that the  people were at the wedding be x .

As given

Joy organised a large wedding .

Guests had to choose their meals from beaf ,chicken or vegetarian .

$\frac{1}{3}\ of\ the\ guests\ chose\ beaf .$

$\frac{5}{12}\ of\ the\ guests\ chose\ chicken.$

69 people chose vegetarian .

Than the equation becomes

$x = 69 + \frac{1x}{3} + \frac{5x}{12}$

L.C.M of (3,12) = 12

than

12x = 69 × 12 + 4x + 5x

12x - 9x = 828

3x = 828

$x = \frac{828}{3}$

x = 276

Therefore 276 people were at the wedding.