Three types of chilli powder, T, U and V come in containers of 60 g, 150 g and 240 g respectively. Containers of T, U and V are mixed together in the ratio 2 : 5 : 6 to obtain 13.86 kg of an assortment of chilli powder.

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

	T	U	V
Number	2 u	5 u	6 u
Value	60	150	240
Total value	120 u	750 u	1440 u

(a)
Total mass of chilli powder
= 120 u + 750 u + 1440 u
= 2310 u

2310 u = 13860

1 u = 13860 ÷ 2310 = 6

Total number of containers of T and U used
= 2 u + 5 u
= 7 u
= 7 x 6
= 42 

(b)
Combined weight of all the chilli powder in containers U and containers V
= 750 u + 1440 u
= 2190 u

Difference between the combined weight of all the chilli powder in containers U and containers V as compared to the chilli powder in containers T
= 2190 u - 120 u
= 2070 u
= 2070 x 6
= 12420 g
= 12.42 kg 

Answer(s): (a) 42; (b) 12.42 kg