Three types of sugar, J, K and L come in containers of 90 g, 120 g and 180 g respectively. Containers of J, K and L are mixed together in the ratio 2 : 3 : 4 to obtain 10.08 kg of an assortment of sugar.

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

	J	K	L
Number	2 u	3 u	4 u
Value	90	120	180
Total value	180 u	360 u	720 u

(a)
Total mass of sugar
= 180 u + 360 u + 720 u
= 1260 u

1260 u = 10080

1 u = 10080 ÷ 1260 = 8

Total number of containers of J and K used
= 2 u + 3 u
= 5 u
= 5 x 8
= 40 

(b)
Combined weight of all the sugar in containers K and containers L
= 360 u + 720 u
= 1080 u

Difference between the combined weight of all the sugar in containers K and containers L as compared to the sugar in containers J
= 1080 u - 180 u
= 900 u
= 900 x 8
= 7200 g
= 7.2 kg 

Answer(s): (a) 40; (b) 7.2 kg