Three types of chilli powder, X, Y and Z come in containers of 90 g, 120 g and 210 g respectively. Containers of X, Y and Z are mixed together in the ratio 1 : 4 : 6 to obtain 9.15 kg of an assortment of chilli powder.

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

	X	Y	Z
Number	1 u	4 u	6 u
Value	90	120	210
Total value	90 u	480 u	1260 u

(a)
Total mass of chilli powder
= 90 u + 480 u + 1260 u
= 1830 u

1830 u = 9150

1 u = 9150 ÷ 1830 = 5

Total number of containers of X and Y used
= 1 u + 4 u
= 5 u
= 5 x 5
= 25 

(b)
Combined weight of all the chilli powder in containers Y and containers Z
= 480 u + 1260 u
= 1740 u

Difference between the combined weight of all the chilli powder in containers Y and containers Z as compared to the chilli powder in containers X
= 1740 u - 90 u
= 1650 u
= 1650 x 5
= 8250 g
= 8.25 kg 

Answer(s): (a) 25; (b) 8.25 kg