Three types of sugar, D, E and F come in containers of 120 g, 180 g and 360 g respectively. Containers of D, E and F are mixed together in the ratio 3 : 5 : 8 to obtain 28.98 kg of an assortment of sugar.

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

	D	E	F
Number	3 u	5 u	8 u
Value	120	180	360
Total value	360 u	900 u	2880 u

(a)
Total mass of sugar
= 360 u + 900 u + 2880 u
= 4140 u

4140 u = 28980

1 u = 28980 ÷ 4140 = 7

Total number of containers of D and E used
= 3 u + 5 u
= 8 u
= 8 x 7
= 56 

(b)
Combined weight of all the sugar in containers E and containers F
= 900 u + 2880 u
= 3780 u

Difference between the combined weight of all the sugar in containers E and containers F as compared to the sugar in containers D
= 3780 u - 360 u
= 3420 u
= 3420 x 7
= 23940 g
= 23.94 kg 

Answer(s): (a) 56; (b) 23.94 kg