KFC sells whole chicken dinners for 12 and half chicken dinners for 8. Yesterday it sold a total of 400 dinners and took in 4200. How many of each size dinner were sold? What were the cedi sales of each size dinner?​

150 half chicken and 250 full chicken

Step-by-step explanation:

Represent whole chicken with w and half chicken with h.

So, we have:

Which implies that:

Also:

Which implies that:

So, we are to solve for h and w from:

Make h the subject in the first equation

Substitute 400 - w for h in the second equation

Recall that:

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18