Three types of curry powder, X, Y and Z come in containers of 120 g, 160 g and 280 g respectively. Containers of X, Y and Z are mixed together in the ratio 2 : 3 : 4 to obtain 16.56 kg of an assortment of curry powder.

1. How many containers of X and Y are used altogether?
2. Find the difference between the combined weight of all the curry powder in containers Y and containers Z as compared to the curry powder in containers X. Express the weight in kilograms.

	X	Y	Z
Number	2 u	3 u	4 u
Value	120	160	280
Total value	240 u	480 u	1120 u

(a)
Total mass of curry powder
= 240 u + 480 u + 1120 u
= 1840 u

1840 u = 16560

1 u = 16560 ÷ 1840 = 9

Total number of containers of X and Y used
= 2 u + 3 u
= 5 u
= 5 x 9
= 45 

(b)
Combined weight of all the curry powder in containers Y and containers Z
= 480 u + 1120 u
= 1600 u

Difference between the combined weight of all the curry powder in containers Y and containers Z as compared to the curry powder in containers X
= 1600 u - 240 u
= 1360 u
= 1360 x 9
= 12240 g
= 12.24 kg 

Answer(s): (a) 45; (b) 12.24 kg