Three types of sugar, T, U and V come in containers of 200 g, 300 g and 400 g respectively. Containers of T, U and V are mixed together in the ratio 2 : 3 : 4 to obtain 29 kg of an assortment of sugar.

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

	T	U	V
Number	2 u	3 u	4 u
Value	200	300	400
Total value	400 u	900 u	1600 u

(a)
Total mass of sugar
= 400 u + 900 u + 1600 u
= 2900 u

2900 u = 29000

1 u = 29000 ÷ 2900 = 10

Total number of containers of T and U used
= 2 u + 3 u
= 5 u
= 5 x 10
= 50 

(b)
Combined weight of all the sugar in containers U and containers V
= 900 u + 1600 u
= 2500 u

Difference between the combined weight of all the sugar in containers U and containers V as compared to the sugar in containers T
= 2500 u - 400 u
= 2100 u
= 2100 x 10
= 21000 g
= 21 kg 

Answer(s): (a) 50; (b) 21 kg