Container Q and Container R had 37 kg of chilli powder and 122.6 kg of chilli powder respectively. If 2 kg of chilli powder from Container Q and 8.9 kg of chilli powder from Container R are used every day, how many days later will the chilli powder in Container Q be one-third as much as the chilli powder in Container R?
|
Make p the same (1)x3 = (3) |
Container Q (1) |
Container R (2) |
Before |
111 |
37 |
122.6 |
Change |
- 6 u |
- 2 u |
- 8.9 u |
After |
3 p |
1 p |
3 p |
37 - 2 u = 1 p --- (1)
122.6 - 8.9 u =
3 p --- (2)
Make p the same.
(1)
x3 = (3)
111 - 6 u =
3 p --- (3)
(2) = (3)
122.6 - 8.9 u = 111 - 6 u
8.9 u - 6 u = 122.6 - 111
2.9 u = 11.6
1 u = 11.6 ÷ 2.9 = 4
Time taken for the chilli powder in Container Q to be one-third as much as the chilli powder in Container R = 4
Answer(s): 4