Three types of curry powder, B, C and D come in containers of 100 g, 150 g and 250 g respectively. Containers of B, C and D are mixed together in the ratio 2 : 5 : 8 to obtain 20.65 kg of an assortment of curry powder.
- How many containers of B and C are used altogether?
- Find the difference between the combined weight of all the curry powder in containers C and containers D as compared to the curry powder in containers B. Express the weight in kilograms.
|
B |
C |
D |
Number |
2 u |
5 u |
8 u |
Value |
100 |
150 |
250 |
Total value |
200 u |
750 u |
2000 u |
(a)
Total mass of curry powder
= 200 u + 750 u + 2000 u
= 2950 u
2950 u = 20650
1 u = 20650 ÷ 2950 = 7
Total number of containers of B and C used
= 2 u + 5 u
= 7 u
= 7 x 7
= 49
(b)
Combined weight of all the curry powder in containers C and containers D
= 750 u + 2000 u
= 2750 u
Difference between the combined weight of all the curry powder in containers C and containers D as compared to the curry powder in containers B
= 2750 u - 200 u
= 2550 u
= 2550 x 7
= 17850 g
= 17.85 kg
Answer(s): (a) 49; (b) 17.85 kg