Question

joy organised a large wedding. Guests had to choose their meal from beef, chicken or vegetarian. 1/3 of the guests chose beef, 5/12 of the guests chose chicken, 69 people chose vegetarian. how many guests were at the wedding

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Answer 1

$\huge\fcolorbox{black}{lime}{❥ᴀ᭄ɴsᴡᴇʀ}$

Let the total number of people who attended the wedding be x. Obviously they have eaten the food there, As we all do the same :)

Now, According to question:

1/3 of the guests chose beef

5/12 of the guests chose chicken

69 people chose vegetarian

The above data can be expressed as:

Guests who chose beef + Guests who chose chicken + Guests who were vegetarian = Total number of guests..

Plugging the values according to data,

➙ x/3 + 5x/12 + 69 = x

➙ 9x/12 + 69 = x

➙ 12x/12 - 9x/12 = 69

➙ 3x/12 = 69

➙ x/4 = 69

➙ x = 276.

Hence:-

The total number of guests who attended the wedding party were:

$\huge \mathfrak \red{276}$

Answer 2

Answer:

$\huge\fcolorbox{black}{aqua}{ᴀɴsᴡᴇʀ}$

Let the total number of people who attended the wedding be x. Obviously they have eaten the food there, As we all do the same

A.TQ.

$\sf \: \frac{1}{3} \: of \: the \: guests \: choose \: beef$

$\sf \: \frac{5}{12} of \: the \: guests \: choose \: chicken.$

69 people chose vegetarian

The above data can be expressed as:

Guests who chose beef + Guests who chose chicken + Guests who were vegetarian = Total number of guests.

Plugging the values according to data,

$\sf \implies \: \frac{x}{3} + \frac{5x}{12} + 69 = x$

$\sf \implies \: \frac{9x}{12} + 69 = x$

$\sf \implies \: \frac{12x}{12} - \frac{9x}{12} = 69$

$\sf \implies \: \frac{3x}{12 } = 69$

$\sf \implies \frac{x}{4} = 69$

$\sf \implies x = 276.$

$\sf \therefore \: The \: total \: number \: of \: guests \: who \\ \sf \: attended \: the \: wedding \: party \: were: \\ \bf \boxed{ \underline \bold\pink{276}}$