Three types of chilli powder, V, W and X come in containers of 180 g, 300 g and 480 g respectively. Containers of V, W and X are mixed together in the ratio 1 : 2 : 3 to obtain 26.64 kg of an assortment of chilli powder.

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

	V	W	X
Number	1 u	2 u	3 u
Value	180	300	480
Total value	180 u	600 u	1440 u

(a)
Total mass of chilli powder
= 180 u + 600 u + 1440 u
= 2220 u

2220 u = 26640

1 u = 26640 ÷ 2220 = 12

Total number of containers of V and W used
= 1 u + 2 u
= 3 u
= 3 x 12
= 36 

(b)
Combined weight of all the chilli powder in containers W and containers X
= 600 u + 1440 u
= 2040 u

Difference between the combined weight of all the chilli powder in containers W and containers X as compared to the chilli powder in containers V
= 2040 u - 180 u
= 1860 u
= 1860 x 12
= 22320 g
= 22.32 kg 

Answer(s): (a) 36; (b) 22.32 kg