The ratio of pomegranates to persimmons is 3 : 7. If 312 persimmons are added, the ratio of pomegranates to persimmons will be 1 : 11. How many pomegranates are there?
|
Pomegranates |
Persimmons |
Before |
3x1 = 3 u |
7x1 = 7 u |
Change |
|
+ 312 |
After |
1x3 = 3 u |
11x3 = 33 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
= 33 u - 7 u
= 26 u
26 u = 312
1 u = 312 ÷ 26 = 12
Number of pomegranates
= 3 u
= 3 x 12
= 36
Answer(s): 36