Question

Joy organized a wedding. Guests had to choose their meal. 1/3 of the guests chose beef . 5/12 of the guests chose chicken . 23 of the guests chose vegetarian how many guests where at the party ???

Answer 1

The above pic has the answer with all the steps.

Answer 2

Answer:

Number of guest are 92.  

Step-by-step explanation:

Given : Joy organized a wedding. Guests had to choose their meal. 1/3 of the guests chose beef . 5/12 of the guests chose chicken . 23 of the guests chose vegetarian.

To find : How many guests where at the party ?

Solution :

Let the total number of guest at the party be 'x'.

Number of guest who choose beef is $\frac{1}{3}x$

Number of guest who choose chicken is $\frac{5}{12}x$

Number of guest who choose vegetarian is 23.

So, Total number of guest are

$x=\frac{1}{3}x+\frac{5}{12}x+23$

$x-\frac{1}{3}x-\frac{5}{12}x=23$

$\frac{12x-4x-5x}{12}=23$

$\frac{3x}{12}=23$

$3x=23\times 12$

$3x=276$

$x=\frac{276}{3}$

$x=92$

Therefore, Number of guest are 92.