Three types of rice flour, H, J and K come in containers of 60 g, 90 g and 120 g respectively. Containers of H, J and K are mixed together in the ratio 3 : 6 : 7 to obtain 10.92 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 |
60 |
90 |
120 |
Total value |
180 u |
540 u |
840 u |
(a)
Total mass of rice flour
= 180 u + 540 u + 840 u
= 1560 u
1560 u = 10920
1 u = 10920 ÷ 1560 = 7
Total number of containers of H and J used
= 3 u + 6 u
= 9 u
= 9 x 7
= 63
(b)
Combined weight of all the rice flour in containers J and containers K
= 540 u + 840 u
= 1380 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
= 1380 u - 180 u
= 1200 u
= 1200 x 7
= 8400 g
= 8.4 kg
Answer(s): (a) 63; (b) 8.4 kg