A fruit stall had 5 times as many persimmons as dragonfruits. After 27 dragonfruits were added, the number of persimmons became twice the number of the dragonfruits. How many dragonfruits were there at the fruit stall at first?
| |
Persimmons |
Dragonfruits |
| Before |
5x2 =
10 u |
1x2 =
2 u |
| Change |
|
+ 27 |
| After |
2x5 =
10 u |
1x5 =
5 u |
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 2 and 5 is 10.
Number of dragonfruits added
= 5 u - 2 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of dragonfruits at the fruit stall at first
= 2 u
= 2 x 9
= 18
Answer(s): 18
