Three types of rice flour, R, S and T come in containers of 120 g, 150 g and 210 g respectively. Containers of R, S and T are mixed together in the ratio 2 : 3 : 5 to obtain 13.92 kg of an assortment of rice flour.
- How many containers of R and S are used altogether?
- Find the difference between the combined weight of all the rice flour in containers S and containers T as compared to the rice flour in containers R. Express the weight in kilograms.
|
R |
S |
T |
Number |
2 u |
3 u |
5 u |
Value |
120 |
150 |
210 |
Total value |
240 u |
450 u |
1050 u |
(a)
Total mass of rice flour
= 240 u + 450 u + 1050 u
= 1740 u
1740 u = 13920
1 u = 13920 ÷ 1740 = 8
Total number of containers of R and S used
= 2 u + 3 u
= 5 u
= 5 x 8
= 40
(b)
Combined weight of all the rice flour in containers S and containers T
= 450 u + 1050 u
= 1500 u
Difference between the combined weight of all the rice flour in containers S and containers T as compared to the rice flour in containers R
= 1500 u - 240 u
= 1260 u
= 1260 x 8
= 10080 g
= 10.08 kg
Answer(s): (a) 40; (b) 10.08 kg