Three types of rice flour, V, W and X come in containers of 120 g, 160 g and 200 g respectively. Containers of V, W and X are mixed together in the ratio 2 : 3 : 6 to obtain 13.44 kg of an assortment of rice flour.
- How many containers of V and W are used altogether?
- Find the difference between the combined weight of all the rice flour in containers W and containers X as compared to the rice flour in containers V. Express the weight in kilograms.
|
V |
W |
X |
Number |
2 u |
3 u |
6 u |
Value |
120 |
160 |
200 |
Total value |
240 u |
480 u |
1200 u |
(a)
Total mass of rice flour
= 240 u + 480 u + 1200 u
= 1920 u
1920 u = 13440
1 u = 13440 ÷ 1920 = 7
Total number of containers of V and W used
= 2 u + 3 u
= 5 u
= 5 x 7
= 35
(b)
Combined weight of all the rice flour in containers W and containers X
= 480 u + 1200 u
= 1680 u
Difference between the combined weight of all the rice flour in containers W and containers X as compared to the rice flour in containers V
= 1680 u - 240 u
= 1440 u
= 1440 x 7
= 10080 g
= 10.08 kg
Answer(s): (a) 35; (b) 10.08 kg