The ratio of chikoos to mangosteens is 2 : 5. If 156 mangosteens are added, the ratio of chikoos to mangosteens will be 1 : 9. How many mangosteens are there?
|
Chikoos |
Mangosteens |
Before |
2x1 = 2 u |
5x1 = 5 u |
Change |
|
+ 156 |
After |
1x2 = 2 u |
9x2 = 18 u |
The number of chikoos at first and in the end remains unchanged. Make the number of chikoos at first and in the end the same. LCM of 2 and 1 is 2.
Number of mangosteens added
= 18 u - 5 u
= 13 u
13 u = 156
1 u = 156 ÷ 13 = 12
Number of mangosteens
= 5 u
= 5 x 12
= 60
Answer(s): 60