The ratio of peaches to mangosteens is 3 : 5. If 35 mangosteens are added, the ratio of peaches to mangosteens will be 1 : 4. How many mangosteens are there?
|
Peaches |
Mangosteens |
Before |
3x1 = 3 u |
5x1 = 5 u |
Change |
|
+ 35 |
After |
1x3 = 3 u |
4x3 = 12 u |
The number of peaches at first and in the end remains unchanged. Make the number of peaches at first and in the end the same. LCM of 3 and 1 is 3.
Number of mangosteens added
= 12 u - 5 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of mangosteens
= 5 u
= 5 x 5
= 25
Answer(s): 25