The ratio of chikoos to mangosteens is 3 : 7. If 115 mangosteens are added, the ratio of chikoos to mangosteens will be 1 : 10. How many chikoos are there?
| |
Chikoos |
Mangosteens |
| Before |
3x1 =
3 u |
7x1 =
7 u |
| Change |
|
+ 115 |
| After |
1x3 =
3 u |
10x3 =
30 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 3 and 1 is 3.
Number of mangosteens added
= 30 u - 7 u
= 23 u
23 u = 115
1 u = 115 ÷ 23 = 5
Number of chikoos
= 3 u
= 3 x 5
= 15
Answer(s): 15
