A fruit stall had 3 times as many persimmons as pomegranates. After 12 pomegranates were sold, the number of persimmons became 9 times the number of the remaining pomegranates. How many pomegranates were there at the fruit stall at first?
|
Persimmons |
Pomegranates |
Before |
3x3 = 9 u |
1x3 = 3 u |
Change |
|
- 12 |
After |
9 u |
1 u |
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 3 and 9 is 9.
Number of pomegranates in the end = 3 u - 12
3 u - 12 = 1 u
3 u - 1 u = 12
2 u = 12
1 u = 12 ÷ 2 = 6
Number of pomegranates at the fruit stall at first
= 3 u
= 3 x 6
= 18
Answer(s): 18