Container F and Container G had 39 kg of chilli powder and 107.4 kg of chilli powder respectively. If 2 kg of chilli powder and 7.2 kg of chilli powder are added into Container F and Container G every day, how many days later will the chilli powder in Container F be one-third as much as the chilli powder in Container G?
|
Make p the same (1)x3 = (3) |
Container F (1) |
Container G (2) |
Before |
117 |
39 |
107.4 |
Change |
+ 6 u |
+ 2 u |
+ 7.2 u |
After |
3 p |
1 p |
3 p |
39 + 2 u = 1 p --- (1)
107.4 + 7.2 u =
3 p --- (2)
Make p the same.
(1)
x3 = (3)
117 + 6 u =
3 p --- (3)
(2) = (3)
107.4 + 7.2 u = 117 + 6 u
7.2 u - 6 u = 117 - 107.4
1.2 u = 9.6
1 u = 9.6 ÷ 1.2 = 8
Time taken for the chilli powder in Container F to be one-third as much as the chilli powder in Container G = 8
Answer(s): 8