Three types of curry powder, F, G and H come in containers of 200 g, 300 g and 450 g respectively. Containers of F, G and H are mixed together in the ratio 3 : 6 : 8 to obtain 72 kg of an assortment of curry powder.
- How many containers of F and G are used altogether?
- Find the difference between the combined weight of all the curry powder in containers G and containers H as compared to the curry powder in containers F. Express the weight in kilograms.
|
F |
G |
H |
Number |
3 u |
6 u |
8 u |
Value |
200 |
300 |
450 |
Total value |
600 u |
1800 u |
3600 u |
(a)
Total mass of curry powder
= 600 u + 1800 u + 3600 u
= 6000 u
6000 u = 72000
1 u = 72000 ÷ 6000 = 12
Total number of containers of F and G used
= 3 u + 6 u
= 9 u
= 9 x 12
= 108
(b)
Combined weight of all the curry powder in containers G and containers H
= 1800 u + 3600 u
= 5400 u
Difference between the combined weight of all the curry powder in containers G and containers H as compared to the curry powder in containers F
= 5400 u - 600 u
= 4800 u
= 4800 x 12
= 57600 g
= 57.6 kg
Answer(s): (a) 108; (b) 57.6 kg