Three types of chilli powder, N, P and Q come in containers of 150 g, 300 g and 400 g respectively. Containers of N, P and Q are mixed together in the ratio 1 : 3 : 6 to obtain 41.4 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	3 u	6 u
Value	150	300	400
Total value	150 u	900 u	2400 u

(a)
Total mass of chilli powder
= 150 u + 900 u + 2400 u
= 3450 u

3450 u = 41400

1 u = 41400 ÷ 3450 = 12

Total number of containers of N and P used
= 1 u + 3 u
= 4 u
= 4 x 12
= 48 

(b)
Combined weight of all the chilli powder in containers P and containers Q
= 900 u + 2400 u
= 3300 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
= 3300 u - 150 u
= 3150 u
= 3150 x 12
= 37800 g
= 37.8 kg 

Answer(s): (a) 48; (b) 37.8 kg