Three types of curry powder, C, D and E come in containers of 60 g, 90 g and 180 g respectively. Containers of C, D and E are mixed together in the ratio 1 : 4 : 6 to obtain 18 kg of an assortment of curry powder.
- How many containers of C and D are used altogether?
- Find the difference between the combined weight of all the curry powder in containers D and containers E as compared to the curry powder in containers C. Express the weight in kilograms.
|
C |
D |
E |
Number |
1 u |
4 u |
6 u |
Value |
60 |
90 |
180 |
Total value |
60 u |
360 u |
1080 u |
(a)
Total mass of curry powder
= 60 u + 360 u + 1080 u
= 1500 u
1500 u = 18000
1 u = 18000 ÷ 1500 = 12
Total number of containers of C and D used
= 1 u + 4 u
= 5 u
= 5 x 12
= 60
(b)
Combined weight of all the curry powder in containers D and containers E
= 360 u + 1080 u
= 1440 u
Difference between the combined weight of all the curry powder in containers D and containers E as compared to the curry powder in containers C
= 1440 u - 60 u
= 1380 u
= 1380 x 12
= 16560 g
= 16.56 kg
Answer(s): (a) 60; (b) 16.56 kg