Three types of rice flour, R, S and T come in containers of 200 g, 250 g and 300 g respectively. Containers of R, S and T are mixed together in the ratio 1 : 4 : 7 to obtain 29.7 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 |
1 u |
4 u |
7 u |
Value |
200 |
250 |
300 |
Total value |
200 u |
1000 u |
2100 u |
(a)
Total mass of rice flour
= 200 u + 1000 u + 2100 u
= 3300 u
3300 u = 29700
1 u = 29700 ÷ 3300 = 9
Total number of containers of R and S used
= 1 u + 4 u
= 5 u
= 5 x 9
= 45
(b)
Combined weight of all the rice flour in containers S and containers T
= 1000 u + 2100 u
= 3100 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
= 3100 u - 200 u
= 2900 u
= 2900 x 9
= 26100 g
= 26.1 kg
Answer(s): (a) 45; (b) 26.1 kg