The ratio of dragonfruits to persimmons is 5 : 7. If 136 persimmons are added, the ratio of dragonfruits to persimmons will be 3 : 11. How many dragonfruits are there?
| |
Dragonfruits |
Persimmons |
| Before |
5x3 =
15 u |
7x3 =
21 u |
| Change |
|
+ 136 |
| After |
3x5 =
15 u |
11x5 =
55 u |
The number of dragonfruits at first and in the end remains unchanged. Make the number of dragonfruits at first and in the end the same. LCM of 5 and 3 is 15.
Number of persimmons added
= 55 u - 21 u
= 34 u
34 u = 136
1 u = 136 ÷ 34 = 4
Number of dragonfruits
= 15 u
= 15 x 4
= 60
Answer(s): 60
