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

150 half chicken and 250 full chicken

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`