Question

Joy organized a wedding. Guests had to choose what meal they want. 1/3 Chose beef 5/12 Chose chicken and 69 chose vegetarian. How many guests were at the party?
Plz answer for me I'm stuck

Answer 1

Answer:

There were 276 guests.

Step-by-step explanation:

Let's say that there are x guests on a wedding.

The equation is:

1/3 x + 5/12 x + 69 = x

x - 1/3 x - 5/12 x = 69

12/12 x - 4/12 x - 5/12 x = 69

3/12 x = 69

1/4 x = 69

x = 69 : 1/4 = 69 * 4 = 276

Prove: 1/3 * 276 + 5/12 * 276 + 69 = 92 + 115 + 69 = 276 (correct)