Three types of chilli powder, N, P and Q come in containers of 120 g, 200 g and 320 g respectively. Containers of N, P and Q are mixed together in the ratio 1 : 4 : 6 to obtain 34.08 kg of an assortment of chilli powder.

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

	N	P	Q
Number	1 u	4 u	6 u
Value	120	200	320
Total value	120 u	800 u	1920 u

(a)
Total mass of chilli powder
= 120 u + 800 u + 1920 u
= 2840 u

2840 u = 34080

1 u = 34080 ÷ 2840 = 12

Total number of containers of N and P used
= 1 u + 4 u
= 5 u
= 5 x 12
= 60 

(b)
Combined weight of all the chilli powder in containers P and containers Q
= 800 u + 1920 u
= 2720 u

Difference between the combined weight of all the chilli powder in containers P and containers Q as compared to the chilli powder in containers N
= 2720 u - 120 u
= 2600 u
= 2600 x 12
= 31200 g
= 31.2 kg 

Answer(s): (a) 60; (b) 31.2 kg