Question

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?​

Answer 1

Answer:

150 half chicken and 250 full chicken

Step-by-step explanation:

Represent whole chicken with w and half chicken with h.

So, we have:

$Total = 400$

Which implies that:

$w + h = 400$

Also:

$Amount =\ 4200$

Which implies that:

$12w + 8h = 4200$

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

$w + h = 400$

$12w + 8h = 4200$

Make h the subject in the first equation

$h = 400 - w$

Substitute 400 - w for h in the second equation

$12w + 8(400 - w) = 4200$

$12w -8w + 3200 = 4200$

$12w -8w =- 3200 + 4200$

$4w =1000$

$w = 250$

Recall that:

$h = 400 - w$

$h = 400 - 250$

$h =150$