Pls help will give 10 pts

There is 276 guests!

Step-by-step explanation:

Hope this can help :)

276 guests

Step-by-step explanation:

Let the number of guests be n.  We are to find the value of n.

Then (1/3)n + (5/12)n + 69 = n, or

                (9/12)n + 69 = n or (12/12)n

Solving for n, we get    (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276

There were 276 guests at the wedding.

Check:  Does (1/3)(276) + (5/12)(276) + 69 work out to 276?  yes

a)

cross multiply.

(25)(2) = (10)(5)

50 = 50; this is true

b)

cross multiply.

(3)(10) = (4)(8)

30 = 32; this is not true

c)

cross multiply.

(2)(12) = (8)(3)

24 = 24; this is true

d)

cross multiply.

(3)(20) = (4)(15)

60 = 60; this is true

a, c, and d are proportions.