Three types of rice flour, E, F and G come in containers of 200 g, 250 g and 350 g respectively. Containers of E, F and G are mixed together in the ratio 1 : 2 : 3 to obtain 12.25 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 |
1 u |
2 u |
3 u |
Value |
200 |
250 |
350 |
Total value |
200 u |
500 u |
1050 u |
(a)
Total mass of rice flour
= 200 u + 500 u + 1050 u
= 1750 u
1750 u = 12250
1 u = 12250 ÷ 1750 = 7
Total number of containers of E and F used
= 1 u + 2 u
= 3 u
= 3 x 7
= 21
(b)
Combined weight of all the rice flour in containers F and containers G
= 500 u + 1050 u
= 1550 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
= 1550 u - 200 u
= 1350 u
= 1350 x 7
= 9450 g
= 9.45 kg
Answer(s): (a) 21; (b) 9.45 kg