Three types of curry powder, E, F and G come in containers of 100 g, 250 g and 300 g respectively. Containers of E, F and G are mixed together in the ratio 1 : 4 : 7 to obtain 19.2 kg of an assortment of curry powder.
- How many containers of E and F are used altogether?
- Find the difference between the combined weight of all the curry powder in containers F and containers G as compared to the curry powder in containers E. Express the weight in kilograms.
|
E |
F |
G |
Number |
1 u |
4 u |
7 u |
Value |
100 |
250 |
300 |
Total value |
100 u |
1000 u |
2100 u |
(a)
Total mass of curry powder
= 100 u + 1000 u + 2100 u
= 3200 u
3200 u = 19200
1 u = 19200 ÷ 3200 = 6
Total number of containers of E and F used
= 1 u + 4 u
= 5 u
= 5 x 6
= 30
(b)
Combined weight of all the curry powder in containers F and containers G
= 1000 u + 2100 u
= 3100 u
Difference between the combined weight of all the curry powder in containers F and containers G as compared to the curry powder in containers E
= 3100 u - 100 u
= 3000 u
= 3000 x 6
= 18000 g
= 18 kg
Answer(s): (a) 30; (b) 18 kg