Three types of rice flour, V, W and X come in containers of 150 g, 250 g and 400 g respectively. Containers of V, W and X are mixed together in the ratio 1 : 2 : 3 to obtain 11.1 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 |
1 u |
2 u |
3 u |
Value |
150 |
250 |
400 |
Total value |
150 u |
500 u |
1200 u |
(a)
Total mass of rice flour
= 150 u + 500 u + 1200 u
= 1850 u
1850 u = 11100
1 u = 11100 ÷ 1850 = 6
Total number of containers of V and W used
= 1 u + 2 u
= 3 u
= 3 x 6
= 18
(b)
Combined weight of all the rice flour in containers W and containers X
= 500 u + 1200 u
= 1700 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
= 1700 u - 150 u
= 1550 u
= 1550 x 6
= 9300 g
= 9.3 kg
Answer(s): (a) 18; (b) 9.3 kg