Three types of rice flour, M, N and P come in containers of 160 g, 280 g and 400 g respectively. Containers of M, N and P are mixed together in the ratio 2 : 3 : 5 to obtain 25.28 kg of an assortment of rice flour.
- How many containers of M and N are used altogether?
- Find the difference between the combined weight of all the rice flour in containers N and containers P as compared to the rice flour in containers M. Express the weight in kilograms.
|
M |
N |
P |
Number |
2 u |
3 u |
5 u |
Value |
160 |
280 |
400 |
Total value |
320 u |
840 u |
2000 u |
(a)
Total mass of rice flour
= 320 u + 840 u + 2000 u
= 3160 u
3160 u = 25280
1 u = 25280 ÷ 3160 = 8
Total number of containers of M and N used
= 2 u + 3 u
= 5 u
= 5 x 8
= 40
(b)
Combined weight of all the rice flour in containers N and containers P
= 840 u + 2000 u
= 2840 u
Difference between the combined weight of all the rice flour in containers N and containers P as compared to the rice flour in containers M
= 2840 u - 320 u
= 2520 u
= 2520 x 8
= 20160 g
= 20.16 kg
Answer(s): (a) 40; (b) 20.16 kg