Three types of pepper, C, D and E come in containers of 120 g, 210 g and 240 g respectively. Containers of C, D and E are mixed together in the ratio 2 : 3 : 5 to obtain 18.63 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 |
120 |
210 |
240 |
Total value |
240 u |
630 u |
1200 u |
(a)
Total mass of pepper
= 240 u + 630 u + 1200 u
= 2070 u
2070 u = 18630
1 u = 18630 ÷ 2070 = 9
Total number of containers of C and D used
= 2 u + 3 u
= 5 u
= 5 x 9
= 45
(b)
Combined weight of all the pepper in containers D and containers E
= 630 u + 1200 u
= 1830 u
Difference between the combined weight of all the pepper in containers D and containers E as compared to the pepper in containers C
= 1830 u - 240 u
= 1590 u
= 1590 x 9
= 14310 g
= 14.31 kg
Answer(s): (a) 45; (b) 14.31 kg