The ratio of persimmons to pomegranates is 3 : 8. If 45 pomegranates are added, the ratio of persimmons to pomegranates will be 2 : 7. How many pomegranates are there?
| |
Persimmons |
Pomegranates |
| Before |
3x2 =
6 u |
8x2 =
16 u |
| Change |
|
+ 45 |
| After |
2x3 =
6 u |
7x3 =
21 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 2 is 6.
Number of pomegranates added
= 21 u - 16 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Number of pomegranates
= 16 u
= 16 x 9
= 144
Answer(s): 144
