Three types of sugar, A, B and C come in containers of 120 g, 150 g and 210 g respectively. Containers of A, B and C are mixed together in the ratio 3 : 4 : 6 to obtain 24.42 kg of an assortment of sugar.

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

	A	B	C
Number	3 u	4 u	6 u
Value	120	150	210
Total value	360 u	600 u	1260 u

(a)
Total mass of sugar
= 360 u + 600 u + 1260 u
= 2220 u

2220 u = 24420

1 u = 24420 ÷ 2220 = 11

Total number of containers of A and B used
= 3 u + 4 u
= 7 u
= 7 x 11
= 77 

(b)
Combined weight of all the sugar in containers B and containers C
= 600 u + 1260 u
= 1860 u

Difference between the combined weight of all the sugar in containers B and containers C as compared to the sugar in containers A
= 1860 u - 360 u
= 1500 u
= 1500 x 11
= 16500 g
= 16.5 kg 

Answer(s): (a) 77; (b) 16.5 kg