A fruit stall had 6 times as many mangosteens as dragonfruits. After 6 dragonfruits were added, the number of mangosteens became twice the number of the dragonfruits. How many dragonfruits were there at the fruit stall at first?
| |
Mangosteens |
Dragonfruits |
| Before |
6x1 =
6 u |
1x1 =
1 u |
| Change |
|
+ 6 |
| After |
2x3 =
6 u |
1x3 =
3 u |
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 2 and 6 is 6.
Number of dragonfruits added
= 3 u - 1 u
= 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Number of dragonfruits at the fruit stall at first
= 1 u
= 1 x 3
= 3
Answer(s): 3
