A fruit stall had 3 times as many persimmons as dragonfruits. After 12 dragonfruits were sold, the number of persimmons became 12 times the number of the remaining dragonfruits. How many dragonfruits were there at the fruit stall at first?
| |
Persimmons |
Dragonfruits |
| Before |
3x4 =
12 u |
1x4 =
4 u |
| Change |
|
- 12 |
| After |
12 u |
1 u |
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 3 and 12 is 12.
Number of dragonfruits in the end = 4 u - 12
4 u - 12 = 1 u
4 u - 1 u = 12
3 u = 12
1 u = 12 ÷ 3 = 4
Number of dragonfruits at the fruit stall at first
= 4 u
= 4 x 4
= 16
Answer(s): 16
