Respuesta :
Joy organised a large wedding
Number of people at the wedding = x
1/3 of the guest chose beef
That is 1/3 of the number of guests chose beef
[tex]\frac{1}{3} *x[/tex] chose beef
5/12 of the guest chose chicken
That is 5/12 of the number of guests chose chicken
[tex]\frac{5}{12} *x[/tex] chose chicken
69 people chose vegetarian
Total number of people =people chose beef +people chose chicken + people chose vegetarian
[tex]x = \frac{1}{3}x + \frac{5}{12}x +69[/tex]
Now we solve for x
We take common denominator LCD : 12, Multiply the whole equation by 12
12x = 4x + 5x + 828
now combine like terms
12x = 9x + 828
3x = 828 (divide both sides by 3)
x= 276
So 276 people were at the wedding
