Three types of chilli powder, B, C and D come in containers of 240 g, 420 g and 480 g respectively. Containers of B, C and D are mixed together in the ratio 2 : 5 : 6 to obtain 65.52 kg of an assortment of chilli powder.
- How many containers of B and C are used altogether?
- Find the difference between the combined weight of all the chilli powder in containers C and containers D as compared to the chilli powder in containers B. Express the weight in kilograms.
|
B |
C |
D |
Number |
2 u |
5 u |
6 u |
Value |
240 |
420 |
480 |
Total value |
480 u |
2100 u |
2880 u |
(a)
Total mass of chilli powder
= 480 u + 2100 u + 2880 u
= 5460 u
5460 u = 65520
1 u = 65520 ÷ 5460 = 12
Total number of containers of B and C used
= 2 u + 5 u
= 7 u
= 7 x 12
= 84
(b)
Combined weight of all the chilli powder in containers C and containers D
= 2100 u + 2880 u
= 4980 u
Difference between the combined weight of all the chilli powder in containers C and containers D as compared to the chilli powder in containers B
= 4980 u - 480 u
= 4500 u
= 4500 x 12
= 54000 g
= 54 kg
Answer(s): (a) 84; (b) 54 kg