Three types of chilli powder, H, J and K come in containers of 80 g, 120 g and 160 g respectively. Containers of H, J and K are mixed together in the ratio 1 : 4 : 5 to obtain 13.6 kg of an assortment of chilli powder.

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

	H	J	K
Number	1 u	4 u	5 u
Value	80	120	160
Total value	80 u	480 u	800 u

(a)
Total mass of chilli powder
= 80 u + 480 u + 800 u
= 1360 u

1360 u = 13600

1 u = 13600 ÷ 1360 = 10

Total number of containers of H and J used
= 1 u + 4 u
= 5 u
= 5 x 10
= 50 

(b)
Combined weight of all the chilli powder in containers J and containers K
= 480 u + 800 u
= 1280 u

Difference between the combined weight of all the chilli powder in containers J and containers K as compared to the chilli powder in containers H
= 1280 u - 80 u
= 1200 u
= 1200 x 10
= 12000 g
= 12 kg 

Answer(s): (a) 50; (b) 12 kg