Three types of chicken powder, Q, R and S come in containers of 90 g, 120 g and 210 g respectively. Containers of Q, R and S are mixed together in the ratio 2 : 3 : 4 to obtain 9.66 kg of an assortment of chicken powder.

1. How many containers of Q and R are used altogether?
2. Find the difference between the combined weight of all the chicken powder in containers R and containers S as compared to the chicken powder in containers Q. Express the weight in kilograms.

	Q	R	S
Number	2 u	3 u	4 u
Value	90	120	210
Total value	180 u	360 u	840 u

(a)
Total mass of chicken powder
= 180 u + 360 u + 840 u
= 1380 u

1380 u = 9660

1 u = 9660 ÷ 1380 = 7

Total number of containers of Q and R used
= 2 u + 3 u
= 5 u
= 5 x 7
= 35 

(b)
Combined weight of all the chicken powder in containers R and containers S
= 360 u + 840 u
= 1200 u

Difference between the combined weight of all the chicken powder in containers R and containers S as compared to the chicken powder in containers Q
= 1200 u - 180 u
= 1020 u
= 1020 x 7
= 7140 g
= 7.14 kg 

Answer(s): (a) 35; (b) 7.14 kg