Three types of chilli powder, E, F and G come in containers of 240 g, 420 g and 540 g respectively. Containers of E, F and G are mixed together in the ratio 3 : 4 : 7 to obtain 30.9 kg of an assortment of chilli powder.

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

	E	F	G
Number	3 u	4 u	7 u
Value	240	420	540
Total value	720 u	1680 u	3780 u

(a)
Total mass of chilli powder
= 720 u + 1680 u + 3780 u
= 6180 u

6180 u = 30900

1 u = 30900 ÷ 6180 = 5

Total number of containers of E and F used
= 3 u + 4 u
= 7 u
= 7 x 5
= 35 

(b)
Combined weight of all the chilli powder in containers F and containers G
= 1680 u + 3780 u
= 5460 u

Difference between the combined weight of all the chilli powder in containers F and containers G as compared to the chilli powder in containers E
= 5460 u - 720 u
= 4740 u
= 4740 x 5
= 23700 g
= 23.7 kg 

Answer(s): (a) 35; (b) 23.7 kg