Question

Help Plzzzz............​

Answer 1

276 guests at the wedding

Explanation:

1. Given

Call the number of guests at the wedding x

`(1)/(3)` of the guests ordered beef,

`(1)/(3)` x ordered beef

`(5)/(12)` of the guests ordered chicken,

`(5)/(12)` x ordered chicken

69 guests ordered vegetarian.

2. Solving

If one were to add up all these values, one would get the total number of guests at the wedding. Hence set up the following equation;

`(1)/(3)` x +
`(5)/(12)` x + 69 = x

Simplify,

- convert fractions to a common denomintor

- reduce fractions

`(4)/(12)` x +
`(5)/(12)` x + 69 = x

`(9)/(12)` x + 69 = x

`(3)/(4)` x + 69 = x

69 = x -
`(3)/(4)` x

69 =
`(1)/(4)`x

*4 *4

276 = x