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avanturin [10]
3 years ago
9

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?​
Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

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

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