Three types of curry powder, C, D and E come in containers of 200 g, 350 g and 450 g respectively. Containers of C, D and E are mixed together in the ratio 2 : 4 : 7 to obtain 54.45 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 |
2 u |
4 u |
7 u |
Value |
200 |
350 |
450 |
Total value |
400 u |
1400 u |
3150 u |
(a)
Total mass of curry powder
= 400 u + 1400 u + 3150 u
= 4950 u
4950 u = 54450
1 u = 54450 ÷ 4950 = 11
Total number of containers of C and D used
= 2 u + 4 u
= 6 u
= 6 x 11
= 66
(b)
Combined weight of all the curry powder in containers D and containers E
= 1400 u + 3150 u
= 4550 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
= 4550 u - 400 u
= 4150 u
= 4150 x 11
= 45650 g
= 45.65 kg
Answer(s): (a) 66; (b) 45.65 kg