Three types of rice flour, V, W and X come in containers of 120 g, 240 g and 360 g respectively. Containers of V, W and X are mixed together in the ratio 3 : 5 : 7 to obtain 40.8 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 |
3 u |
5 u |
7 u |
Value |
120 |
240 |
360 |
Total value |
360 u |
1200 u |
2520 u |
(a)
Total mass of rice flour
= 360 u + 1200 u + 2520 u
= 4080 u
4080 u = 40800
1 u = 40800 ÷ 4080 = 10
Total number of containers of V and W used
= 3 u + 5 u
= 8 u
= 8 x 10
= 80
(b)
Combined weight of all the rice flour in containers W and containers X
= 1200 u + 2520 u
= 3720 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
= 3720 u - 360 u
= 3360 u
= 3360 x 10
= 33600 g
= 33.6 kg
Answer(s): (a) 80; (b) 33.6 kg