Three types of chicken powder, D, E and F come in containers of 100 g, 250 g and 400 g respectively. Containers of D, E and F are mixed together in the ratio 1 : 2 : 4 to obtain 24.2 kg of an assortment of chicken powder.

1. How many containers of D and E are used altogether?
2. Find the difference between the combined weight of all the chicken powder in containers E and containers F as compared to the chicken powder in containers D. Express the weight in kilograms.

	D	E	F
Number	1 u	2 u	4 u
Value	100	250	400
Total value	100 u	500 u	1600 u

(a)
Total mass of chicken powder
= 100 u + 500 u + 1600 u
= 2200 u

2200 u = 24200

1 u = 24200 ÷ 2200 = 11

Total number of containers of D and E used
= 1 u + 2 u
= 3 u
= 3 x 11
= 33 

(b)
Combined weight of all the chicken powder in containers E and containers F
= 500 u + 1600 u
= 2100 u

Difference between the combined weight of all the chicken powder in containers E and containers F as compared to the chicken powder in containers D
= 2100 u - 100 u
= 2000 u
= 2000 x 11
= 22000 g
= 22 kg 

Answer(s): (a) 33; (b) 22 kg