Three types of pepper, F, G and H come in containers of 160 g, 280 g and 360 g respectively. Containers of F, G and H are mixed together in the ratio 3 : 6 : 7 to obtain 42.12 kg of an assortment of pepper.

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

	F	G	H
Number	3 u	6 u	7 u
Value	160	280	360
Total value	480 u	1680 u	2520 u

(a)
Total mass of pepper
= 480 u + 1680 u + 2520 u
= 4680 u

4680 u = 42120

1 u = 42120 ÷ 4680 = 9

Total number of containers of F and G used
= 3 u + 6 u
= 9 u
= 9 x 9
= 81 

(b)
Combined weight of all the pepper in containers G and containers H
= 1680 u + 2520 u
= 4200 u

Difference between the combined weight of all the pepper in containers G and containers H as compared to the pepper in containers F
= 4200 u - 480 u
= 3720 u
= 3720 x 9
= 33480 g
= 33.48 kg 

Answer(s): (a) 81; (b) 33.48 kg