Three types of sugar, K, L and M come in containers of 60 g, 90 g and 150 g respectively. Containers of K, L and M are mixed together in the ratio 1 : 3 : 5 to obtain 10.8 kg of an assortment of sugar.

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

	K	L	M
Number	1 u	3 u	5 u
Value	60	90	150
Total value	60 u	270 u	750 u

(a)
Total mass of sugar
= 60 u + 270 u + 750 u
= 1080 u

1080 u = 10800

1 u = 10800 ÷ 1080 = 10

Total number of containers of K and L used
= 1 u + 3 u
= 4 u
= 4 x 10
= 40 

(b)
Combined weight of all the sugar in containers L and containers M
= 270 u + 750 u
= 1020 u

Difference between the combined weight of all the sugar in containers L and containers M as compared to the sugar in containers K
= 1020 u - 60 u
= 960 u
= 960 x 10
= 9600 g
= 9.6 kg 

Answer(s): (a) 40; (b) 9.6 kg