Three types of rice flour, E, F and G come in containers of 200 g, 300 g and 350 g respectively. Containers of E, F and G are mixed together in the ratio 2 : 3 : 6 to obtain 17 kg of an assortment of rice flour.
- How many containers of E and F are used altogether?
- Find the difference between the combined weight of all the rice flour in containers F and containers G as compared to the rice flour in containers E. Express the weight in kilograms.
|
E |
F |
G |
Number |
2 u |
3 u |
6 u |
Value |
200 |
300 |
350 |
Total value |
400 u |
900 u |
2100 u |
(a)
Total mass of rice flour
= 400 u + 900 u + 2100 u
= 3400 u
3400 u = 17000
1 u = 17000 ÷ 3400 = 5
Total number of containers of E and F used
= 2 u + 3 u
= 5 u
= 5 x 5
= 25
(b)
Combined weight of all the rice flour in containers F and containers G
= 900 u + 2100 u
= 3000 u
Difference between the combined weight of all the rice flour in containers F and containers G as compared to the rice flour in containers E
= 3000 u - 400 u
= 2600 u
= 2600 x 5
= 13000 g
= 13 kg
Answer(s): (a) 25; (b) 13 kg