Three types of curry powder, F, G and H come in containers of 240 g, 360 g and 540 g respectively. Containers of F, G and H are mixed together in the ratio 3 : 4 : 7 to obtain 35.64 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 |
4 u |
7 u |
Value |
240 |
360 |
540 |
Total value |
720 u |
1440 u |
3780 u |
(a)
Total mass of curry powder
= 720 u + 1440 u + 3780 u
= 5940 u
5940 u = 35640
1 u = 35640 ÷ 5940 = 6
Total number of containers of F and G used
= 3 u + 4 u
= 7 u
= 7 x 6
= 42
(b)
Combined weight of all the curry powder in containers G and containers H
= 1440 u + 3780 u
= 5220 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
= 5220 u - 720 u
= 4500 u
= 4500 x 6
= 27000 g
= 27 kg
Answer(s): (a) 42; (b) 27 kg