The ratio of mangosteens to persimmons is 5 : 7. If 155 persimmons are added, the ratio of mangosteens to persimmons will be 2 : 9. How many persimmons are there?
| |
Mangosteens |
Persimmons |
| Before |
5x2 =
10 u |
7x2 =
14 u |
| Change |
|
+ 155 |
| After |
2x5 =
10 u |
9x5 =
45 u |
The number of mangosteens at first and in the end remains unchanged. Make the number of mangosteens at first and in the end the same. LCM of 5 and 2 is 10.
Number of persimmons added
= 45 u - 14 u
= 31 u
31 u = 155
1 u = 155 ÷ 31 = 5
Number of persimmons
= 14 u
= 14 x 5
= 70
Answer(s): 70
