Three types of flour, D, E and F come in containers of 100 g, 200 g and 300 g respectively. Containers of D, E and F are mixed together in the ratio 3 : 6 : 8 to obtain 23.4 kg of an assortment of flour.

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

	D	E	F
Number	3 u	6 u	8 u
Value	100	200	300
Total value	300 u	1200 u	2400 u

(a)
Total mass of flour
= 300 u + 1200 u + 2400 u
= 3900 u

3900 u = 23400

1 u = 23400 ÷ 3900 = 6

Total number of containers of D and E used
= 3 u + 6 u
= 9 u
= 9 x 6
= 54 

(b)
Combined weight of all the flour in containers E and containers F
= 1200 u + 2400 u
= 3600 u

Difference between the combined weight of all the flour in containers E and containers F as compared to the flour in containers D
= 3600 u - 300 u
= 3300 u
= 3300 x 6
= 19800 g
= 19.8 kg 

Answer(s): (a) 54; (b) 19.8 kg