Three types of pepper, A, B and C come in containers of 240 g, 300 g and 420 g respectively. Containers of A, B and C are mixed together in the ratio 3 : 6 : 7 to obtain 60.06 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 |
3 u |
6 u |
7 u |
Value |
240 |
300 |
420 |
Total value |
720 u |
1800 u |
2940 u |
(a)
Total mass of pepper
= 720 u + 1800 u + 2940 u
= 5460 u
5460 u = 60060
1 u = 60060 ÷ 5460 = 11
Total number of containers of A and B used
= 3 u + 6 u
= 9 u
= 9 x 11
= 99
(b)
Combined weight of all the pepper in containers B and containers C
= 1800 u + 2940 u
= 4740 u
Difference between the combined weight of all the pepper in containers B and containers C as compared to the pepper in containers A
= 4740 u - 720 u
= 4020 u
= 4020 x 11
= 44220 g
= 44.22 kg
Answer(s): (a) 99; (b) 44.22 kg