Three types of flour, C, D and E come in containers of 100 g, 150 g and 250 g respectively. Containers of C, D and E are mixed together in the ratio 3 : 5 : 6 to obtain 22.95 kg of an assortment of flour.

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

	C	D	E
Number	3 u	5 u	6 u
Value	100	150	250
Total value	300 u	750 u	1500 u

(a)
Total mass of flour
= 300 u + 750 u + 1500 u
= 2550 u

2550 u = 22950

1 u = 22950 ÷ 2550 = 9

Total number of containers of C and D used
= 3 u + 5 u
= 8 u
= 8 x 9
= 72 

(b)
Combined weight of all the flour in containers D and containers E
= 750 u + 1500 u
= 2250 u

Difference between the combined weight of all the flour in containers D and containers E as compared to the flour in containers C
= 2250 u - 300 u
= 1950 u
= 1950 x 9
= 17550 g
= 17.55 kg 

Answer(s): (a) 72; (b) 17.55 kg