Three types of pepper, C, D and E come in containers of 120 g, 240 g and 300 g respectively. Containers of C, D and E are mixed together in the ratio 1 : 4 : 5 to obtain 28.38 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 |
1 u |
4 u |
5 u |
Value |
120 |
240 |
300 |
Total value |
120 u |
960 u |
1500 u |
(a)
Total mass of pepper
= 120 u + 960 u + 1500 u
= 2580 u
2580 u = 28380
1 u = 28380 ÷ 2580 = 11
Total number of containers of C and D used
= 1 u + 4 u
= 5 u
= 5 x 11
= 55
(b)
Combined weight of all the pepper in containers D and containers E
= 960 u + 1500 u
= 2460 u
Difference between the combined weight of all the pepper in containers D and containers E as compared to the pepper in containers C
= 2460 u - 120 u
= 2340 u
= 2340 x 11
= 25740 g
= 25.74 kg
Answer(s): (a) 55; (b) 25.74 kg