Three types of sugar, B, C and D come in containers of 80 g, 120 g and 200 g respectively. Containers of B, C and D are mixed together in the ratio 2 : 3 : 5 to obtain 10.64 kg of an assortment of sugar.

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

	B	C	D
Number	2 u	3 u	5 u
Value	80	120	200
Total value	160 u	360 u	1000 u

(a)
Total mass of sugar
= 160 u + 360 u + 1000 u
= 1520 u

1520 u = 10640

1 u = 10640 ÷ 1520 = 7

Total number of containers of B and C used
= 2 u + 3 u
= 5 u
= 5 x 7
= 35 

(b)
Combined weight of all the sugar in containers C and containers D
= 360 u + 1000 u
= 1360 u

Difference between the combined weight of all the sugar in containers C and containers D as compared to the sugar in containers B
= 1360 u - 160 u
= 1200 u
= 1200 x 7
= 8400 g
= 8.4 kg 

Answer(s): (a) 35; (b) 8.4 kg