Three types of pepper, A, B and C come in containers of 120 g, 200 g and 240 g respectively. Containers of A, B and C are mixed together in the ratio 1 : 3 : 6 to obtain 25.92 kg of an assortment of pepper.
- How many containers of A and B are used altogether?
- 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 |
1 u |
3 u |
6 u |
Value |
120 |
200 |
240 |
Total value |
120 u |
600 u |
1440 u |
(a)
Total mass of pepper
= 120 u + 600 u + 1440 u
= 2160 u
2160 u = 25920
1 u = 25920 ÷ 2160 = 12
Total number of containers of A and B used
= 1 u + 3 u
= 4 u
= 4 x 12
= 48
(b)
Combined weight of all the pepper in containers B and containers C
= 600 u + 1440 u
= 2040 u
Difference between the combined weight of all the pepper in containers B and containers C as compared to the pepper in containers A
= 2040 u - 120 u
= 1920 u
= 1920 x 12
= 23040 g
= 23.04 kg
Answer(s): (a) 48; (b) 23.04 kg