Three types of pepper, A, B and C come in containers of 100 g, 150 g and 250 g respectively. Containers of A, B and C are mixed together in the ratio 2 : 5 : 8 to obtain 20.65 kg of an assortment of pepper.

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

	A	B	C
Number	2 u	5 u	8 u
Value	100	150	250
Total value	200 u	750 u	2000 u

(a)
Total mass of pepper
= 200 u + 750 u + 2000 u
= 2950 u

2950 u = 20650

1 u = 20650 ÷ 2950 = 7

Total number of containers of A and B used
= 2 u + 5 u
= 7 u
= 7 x 7
= 49 

(b)
Combined weight of all the pepper in containers B and containers C
= 750 u + 2000 u
= 2750 u

Difference between the combined weight of all the pepper in containers B and containers C as compared to the pepper in containers A
= 2750 u - 200 u
= 2550 u
= 2550 x 7
= 17850 g
= 17.85 kg 

Answer(s): (a) 49; (b) 17.85 kg