The ratio of lemons to dragonfruits is 3 : 5. If 22 dragonfruits are added, the ratio of lemons to dragonfruits will be 2 : 7. How many dragonfruits are there?
| |
Lemons |
Dragonfruits |
| Before |
3x2 =
6 u |
5x2 =
10 u |
| Change |
|
+ 22 |
| After |
2x3 =
6 u |
7x3 =
21 u |
The number of lemons at first and in the end remains unchanged. Make the number of lemons at first and in the end the same. LCM of 3 and 2 is 6.
Number of dragonfruits added
= 21 u - 10 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of dragonfruits
= 10 u
= 10 x 2
= 20
Answer(s): 20
