The ratio of persimmons to passion fruits is 5 : 7. If 130 passion fruits are added, the ratio of persimmons to passion fruits will be 1 : 4. How many persimmons are there?
|
Persimmons |
Passion Fruits |
Before |
5x1 = 5 u |
7x1 = 7 u |
Change |
|
+ 130 |
After |
1x5 = 5 u |
4x5 = 20 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 5 and 1 is 5.
Number of passion fruits added
= 20 u - 7 u
= 13 u
13 u = 130
1 u = 130 ÷ 13 = 10
Number of persimmons
= 5 u
= 5 x 10
= 50
Answer(s): 50