Three types of rice flour, H, J and K come in containers of 120 g, 180 g and 210 g respectively. Containers of H, J and K are mixed together in the ratio 3 : 6 : 7 to obtain 14.55 kg of an assortment of rice flour.
- How many containers of H and J are used altogether?
- Find the difference between the combined weight of all the rice flour in containers J and containers K as compared to the rice flour in containers H. Express the weight in kilograms.
|
H |
J |
K |
Number |
3 u |
6 u |
7 u |
Value |
120 |
180 |
210 |
Total value |
360 u |
1080 u |
1470 u |
(a)
Total mass of rice flour
= 360 u + 1080 u + 1470 u
= 2910 u
2910 u = 14550
1 u = 14550 ÷ 2910 = 5
Total number of containers of H and J used
= 3 u + 6 u
= 9 u
= 9 x 5
= 45
(b)
Combined weight of all the rice flour in containers J and containers K
= 1080 u + 1470 u
= 2550 u
Difference between the combined weight of all the rice flour in containers J and containers K as compared to the rice flour in containers H
= 2550 u - 360 u
= 2190 u
= 2190 x 5
= 10950 g
= 10.95 kg
Answer(s): (a) 45; (b) 10.95 kg