The ratio of persimmons to pomegranates is 2 : 7. If 42 pomegranates are added, the ratio of persimmons to pomegranates will be 1 : 7. How many persimmons are there?
| |
Persimmons |
Pomegranates |
| Before |
2x1 =
2 u |
7x1 =
7 u |
| Change |
|
+ 42 |
| After |
1x2 =
2 u |
7x2 =
14 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 2 and 1 is 2.
Number of pomegranates added
= 14 u - 7 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of persimmons
= 2 u
= 2 x 6
= 12
Answer(s): 12
