Three types of pepper, H, J and K come in containers of 180 g, 360 g and 540 g respectively. Containers of H, J and K are mixed together in the ratio 3 : 4 : 5 to obtain 56.16 kg of an assortment of pepper.

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

	H	J	K
Number	3 u	4 u	5 u
Value	180	360	540
Total value	540 u	1440 u	2700 u

(a)
Total mass of pepper
= 540 u + 1440 u + 2700 u
= 4680 u

4680 u = 56160

1 u = 56160 ÷ 4680 = 12

Total number of containers of H and J used
= 3 u + 4 u
= 7 u
= 7 x 12
= 84 

(b)
Combined weight of all the pepper in containers J and containers K
= 1440 u + 2700 u
= 4140 u

Difference between the combined weight of all the pepper in containers J and containers K as compared to the pepper in containers H
= 4140 u - 540 u
= 3600 u
= 3600 x 12
= 43200 g
= 43.2 kg 

Answer(s): (a) 84; (b) 43.2 kg