Three types of chicken powder, S, T and U come in containers of 90 g, 150 g and 180 g respectively. Containers of S, T and U are mixed together in the ratio 3 : 5 : 6 to obtain 23.1 kg of an assortment of chicken powder.

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

	S	T	U
Number	3 u	5 u	6 u
Value	90	150	180
Total value	270 u	750 u	1080 u

(a)
Total mass of chicken powder
= 270 u + 750 u + 1080 u
= 2100 u

2100 u = 23100

1 u = 23100 ÷ 2100 = 11

Total number of containers of S and T used
= 3 u + 5 u
= 8 u
= 8 x 11
= 88 

(b)
Combined weight of all the chicken powder in containers T and containers U
= 750 u + 1080 u
= 1830 u

Difference between the combined weight of all the chicken powder in containers T and containers U as compared to the chicken powder in containers S
= 1830 u - 270 u
= 1560 u
= 1560 x 11
= 17160 g
= 17.16 kg 

Answer(s): (a) 88; (b) 17.16 kg