The ratio of pomegranates to persimmons is 3 : 5. If 128 persimmons are added, the ratio of pomegranates to persimmons will be 1 : 7. How many persimmons are there?
| |
Pomegranates |
Persimmons |
| Before |
3x1 =
3 u |
5x1 =
5 u |
| Change |
|
+ 128 |
| After |
1x3 =
3 u |
7x3 =
21 u |
The number of pomegranates at first and in the end remains unchanged. Make the number of pomegranates at first and in the end the same. LCM of 3 and 1 is 3.
Number of persimmons added
= 21 u - 5 u
= 16 u
16 u = 128
1 u = 128 ÷ 16 = 8
Number of persimmons
= 5 u
= 5 x 8
= 40
Answer(s): 40
