Three types of sugar, C, D and E come in containers of 200 g, 250 g and 350 g respectively. Containers of C, D and E are mixed together in the ratio 1 : 4 : 7 to obtain 40.15 kg of an assortment of sugar.

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

	C	D	E
Number	1 u	4 u	7 u
Value	200	250	350
Total value	200 u	1000 u	2450 u

(a)
Total mass of sugar
= 200 u + 1000 u + 2450 u
= 3650 u

3650 u = 40150

1 u = 40150 ÷ 3650 = 11

Total number of containers of C and D used
= 1 u + 4 u
= 5 u
= 5 x 11
= 55 

(b)
Combined weight of all the sugar in containers D and containers E
= 1000 u + 2450 u
= 3450 u

Difference between the combined weight of all the sugar in containers D and containers E as compared to the sugar in containers C
= 3450 u - 200 u
= 3250 u
= 3250 x 11
= 35750 g
= 35.75 kg 

Answer(s): (a) 55; (b) 35.75 kg