Three types of rice flour, W, X and Y come in containers of 160 g, 240 g and 320 g respectively. Containers of W, X and Y are mixed together in the ratio 2 : 3 : 4 to obtain 16.24 kg of an assortment of rice flour.
- How many containers of W and X are used altogether?
- Find the difference between the combined weight of all the rice flour in containers X and containers Y as compared to the rice flour in containers W. Express the weight in kilograms.
|
W |
X |
Y |
Number |
2 u |
3 u |
4 u |
Value |
160 |
240 |
320 |
Total value |
320 u |
720 u |
1280 u |
(a)
Total mass of rice flour
= 320 u + 720 u + 1280 u
= 2320 u
2320 u = 16240
1 u = 16240 ÷ 2320 = 7
Total number of containers of W and X used
= 2 u + 3 u
= 5 u
= 5 x 7
= 35
(b)
Combined weight of all the rice flour in containers X and containers Y
= 720 u + 1280 u
= 2000 u
Difference between the combined weight of all the rice flour in containers X and containers Y as compared to the rice flour in containers W
= 2000 u - 320 u
= 1680 u
= 1680 x 7
= 11760 g
= 11.76 kg
Answer(s): (a) 35; (b) 11.76 kg