1/3 of the guests chose beef

5/12 of the guests chose chicken

69 of the guests chose vegetarian

How many guest were there?

Find the common denominator of 3 and 12 which would be 12.

Then we add the 2 fractions together to get 9/12.

Now we know that 9/12 of the guests chose chicken and beef.

We also know that 69 guests is equivalent to 3/12 which can be simplified down to get 1/4.

So now we can do 69x4 to get 4/4 which is also 12/12, the amount of guests.

69x4 is 276

Your final should be 276.