Three types of rice flour, C, D and E come in containers of 120 g, 160 g and 240 g respectively. Containers of C, D and E are mixed together in the ratio 1 : 3 : 6 to obtain 24.48 kg of an assortment of rice flour.
- How many containers of C and D are used altogether?
- Find the difference between the combined weight of all the rice flour in containers D and containers E as compared to the rice flour in containers C. Express the weight in kilograms.
|
C |
D |
E |
Number |
1 u |
3 u |
6 u |
Value |
120 |
160 |
240 |
Total value |
120 u |
480 u |
1440 u |
(a)
Total mass of rice flour
= 120 u + 480 u + 1440 u
= 2040 u
2040 u = 24480
1 u = 24480 ÷ 2040 = 12
Total number of containers of C and D used
= 1 u + 3 u
= 4 u
= 4 x 12
= 48
(b)
Combined weight of all the rice flour in containers D and containers E
= 480 u + 1440 u
= 1920 u
Difference between the combined weight of all the rice flour in containers D and containers E as compared to the rice flour in containers C
= 1920 u - 120 u
= 1800 u
= 1800 x 12
= 21600 g
= 21.6 kg
Answer(s): (a) 48; (b) 21.6 kg