Three types of chilli powder, S, T and U come in containers of 100 g, 150 g and 250 g respectively. Containers of S, T and U are mixed together in the ratio 3 : 4 : 6 to obtain 24 kg of an assortment of chilli powder.

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

	S	T	U
Number	3 u	4 u	6 u
Value	100	150	250
Total value	300 u	600 u	1500 u

(a)
Total mass of chilli powder
= 300 u + 600 u + 1500 u
= 2400 u

2400 u = 24000

1 u = 24000 ÷ 2400 = 10

Total number of containers of S and T used
= 3 u + 4 u
= 7 u
= 7 x 10
= 70 

(b)
Combined weight of all the chilli powder in containers T and containers U
= 600 u + 1500 u
= 2100 u

Difference between the combined weight of all the chilli powder in containers T and containers U as compared to the chilli powder in containers S
= 2100 u - 300 u
= 1800 u
= 1800 x 10
= 18000 g
= 18 kg 

Answer(s): (a) 70; (b) 18 kg