Three types of rice flour, K, L and M come in containers of 160 g, 240 g and 280 g respectively. Containers of K, L and M are mixed together in the ratio 2 : 3 : 4 to obtain 12.96 kg of an assortment of rice flour.
- How many containers of K and L are used altogether?
- Find the difference between the combined weight of all the rice flour in containers L and containers M as compared to the rice flour in containers K. Express the weight in kilograms.
|
K |
L |
M |
Number |
2 u |
3 u |
4 u |
Value |
160 |
240 |
280 |
Total value |
320 u |
720 u |
1120 u |
(a)
Total mass of rice flour
= 320 u + 720 u + 1120 u
= 2160 u
2160 u = 12960
1 u = 12960 ÷ 2160 = 6
Total number of containers of K and L used
= 2 u + 3 u
= 5 u
= 5 x 6
= 30
(b)
Combined weight of all the rice flour in containers L and containers M
= 720 u + 1120 u
= 1840 u
Difference between the combined weight of all the rice flour in containers L and containers M as compared to the rice flour in containers K
= 1840 u - 320 u
= 1520 u
= 1520 x 6
= 9120 g
= 9.12 kg
Answer(s): (a) 30; (b) 9.12 kg