Three types of pepper, C, D and E come in containers of 80 g, 160 g and 200 g respectively. Containers of C, D and E are mixed together in the ratio 2 : 3 : 5 to obtain 9.84 kg of an assortment of pepper.
- How many containers of C and D are used altogether?
- Find the difference between the combined weight of all the pepper in containers D and containers E as compared to the pepper in containers C. Express the weight in kilograms.
|
C |
D |
E |
Number |
2 u |
3 u |
5 u |
Value |
80 |
160 |
200 |
Total value |
160 u |
480 u |
1000 u |
(a)
Total mass of pepper
= 160 u + 480 u + 1000 u
= 1640 u
1640 u = 9840
1 u = 9840 ÷ 1640 = 6
Total number of containers of C and D used
= 2 u + 3 u
= 5 u
= 5 x 6
= 30
(b)
Combined weight of all the pepper in containers D and containers E
= 480 u + 1000 u
= 1480 u
Difference between the combined weight of all the pepper in containers D and containers E as compared to the pepper in containers C
= 1480 u - 160 u
= 1320 u
= 1320 x 6
= 7920 g
= 7.92 kg
Answer(s): (a) 30; (b) 7.92 kg