Three types of rice flour, E, F and G come in containers of 180 g, 240 g and 300 g respectively. Containers of E, F and G are mixed together in the ratio 3 : 5 : 8 to obtain 45.54 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 |
3 u |
5 u |
8 u |
Value |
180 |
240 |
300 |
Total value |
540 u |
1200 u |
2400 u |
(a)
Total mass of rice flour
= 540 u + 1200 u + 2400 u
= 4140 u
4140 u = 45540
1 u = 45540 ÷ 4140 = 11
Total number of containers of E and F used
= 3 u + 5 u
= 8 u
= 8 x 11
= 88
(b)
Combined weight of all the rice flour in containers F and containers G
= 1200 u + 2400 u
= 3600 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
= 3600 u - 540 u
= 3060 u
= 3060 x 11
= 33660 g
= 33.66 kg
Answer(s): (a) 88; (b) 33.66 kg