Three types of chilli powder, S, T and U come in containers of 100 g, 150 g and 300 g respectively. Containers of S, T and U are mixed together in the ratio 1 : 4 : 7 to obtain 33.6 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	1 u	4 u	7 u
Value	100	150	300
Total value	100 u	600 u	2100 u

(a)
Total mass of chilli powder
= 100 u + 600 u + 2100 u
= 2800 u

2800 u = 33600

1 u = 33600 ÷ 2800 = 12

Total number of containers of S and T used
= 1 u + 4 u
= 5 u
= 5 x 12
= 60 

(b)
Combined weight of all the chilli powder in containers T and containers U
= 600 u + 2100 u
= 2700 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
= 2700 u - 100 u
= 2600 u
= 2600 x 12
= 31200 g
= 31.2 kg 

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