Three types of curry powder, C, D and E come in containers of 100 g, 250 g and 300 g respectively. Containers of C, D and E are mixed together in the ratio 3 : 5 : 7 to obtain 40.15 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 |
3 u |
5 u |
7 u |
Value |
100 |
250 |
300 |
Total value |
300 u |
1250 u |
2100 u |
(a)
Total mass of curry powder
= 300 u + 1250 u + 2100 u
= 3650 u
3650 u = 40150
1 u = 40150 ÷ 3650 = 11
Total number of containers of C and D used
= 3 u + 5 u
= 8 u
= 8 x 11
= 88
(b)
Combined weight of all the curry powder in containers D and containers E
= 1250 u + 2100 u
= 3350 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
= 3350 u - 300 u
= 3050 u
= 3050 x 11
= 33550 g
= 33.55 kg
Answer(s): (a) 88; (b) 33.55 kg