Three types of pepper, U, V and W come in containers of 60 g, 120 g and 210 g respectively. Containers of U, V and W are mixed together in the ratio 3 : 5 : 6 to obtain 22.44 kg of an assortment of pepper.

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

	U	V	W
Number	3 u	5 u	6 u
Value	60	120	210
Total value	180 u	600 u	1260 u

(a)
Total mass of pepper
= 180 u + 600 u + 1260 u
= 2040 u

2040 u = 22440

1 u = 22440 ÷ 2040 = 11

Total number of containers of U and V used
= 3 u + 5 u
= 8 u
= 8 x 11
= 88 

(b)
Combined weight of all the pepper in containers V and containers W
= 600 u + 1260 u
= 1860 u

Difference between the combined weight of all the pepper in containers V and containers W as compared to the pepper in containers U
= 1860 u - 180 u
= 1680 u
= 1680 x 11
= 18480 g
= 18.48 kg 

Answer(s): (a) 88; (b) 18.48 kg