The ratio of persimmons to dragonfruits is 3 : 8. If 300 dragonfruits are added, the ratio of persimmons to dragonfruits will be 1 : 11. How many dragonfruits are there?
|
Persimmons |
Dragonfruits |
Before |
3x1 = 3 u |
8x1 = 8 u |
Change |
|
+ 300 |
After |
1x3 = 3 u |
11x3 = 33 u |
The number of persimmons at first and in the end remains unchanged. Make the number of persimmons at first and in the end the same. LCM of 3 and 1 is 3.
Number of dragonfruits added
= 33 u - 8 u
= 25 u
25 u = 300
1 u = 300 ÷ 25 = 12
Number of dragonfruits
= 8 u
= 8 x 12
= 96
Answer(s): 96