Three types of rice flour, W, X and Y come in containers of 120 g, 150 g and 210 g respectively. Containers of W, X and Y are mixed together in the ratio 2 : 4 : 5 to obtain 18.9 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 |
4 u |
5 u |
Value |
120 |
150 |
210 |
Total value |
240 u |
600 u |
1050 u |
(a)
Total mass of rice flour
= 240 u + 600 u + 1050 u
= 1890 u
1890 u = 18900
1 u = 18900 ÷ 1890 = 10
Total number of containers of W and X used
= 2 u + 4 u
= 6 u
= 6 x 10
= 60
(b)
Combined weight of all the rice flour in containers X and containers Y
= 600 u + 1050 u
= 1650 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
= 1650 u - 240 u
= 1410 u
= 1410 x 10
= 14100 g
= 14.1 kg
Answer(s): (a) 60; (b) 14.1 kg