Three types of sugar, V, W and X come in containers of 120 g, 200 g and 280 g respectively. Containers of V, W and X are mixed together in the ratio 3 : 4 : 6 to obtain 25.56 kg of an assortment of sugar.

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

	V	W	X
Number	3 u	4 u	6 u
Value	120	200	280
Total value	360 u	800 u	1680 u

(a)
Total mass of sugar
= 360 u + 800 u + 1680 u
= 2840 u

2840 u = 25560

1 u = 25560 ÷ 2840 = 9

Total number of containers of V and W used
= 3 u + 4 u
= 7 u
= 7 x 9
= 63 

(b)
Combined weight of all the sugar in containers W and containers X
= 800 u + 1680 u
= 2480 u

Difference between the combined weight of all the sugar in containers W and containers X as compared to the sugar in containers V
= 2480 u - 360 u
= 2120 u
= 2120 x 9
= 19080 g
= 19.08 kg 

Answer(s): (a) 63; (b) 19.08 kg