The ratio of guavas to mangosteens is 3 : 8. If 8 mangosteens are added, the ratio of guavas to mangosteens will be 1 : 4. How many mangosteens are there?
| |
Guavas |
Mangosteens |
| Before |
3x1 =
3 u |
8x1 =
8 u |
| Change |
|
+ 8 |
| After |
1x3 =
3 u |
4x3 =
12 u |
The number of guavas at first and in the end remains unchanged. Make the number of guavas at first and in the end the same. LCM of 3 and 1 is 3.
Number of mangosteens added
= 12 u - 8 u
= 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Number of mangosteens
= 8 u
= 8 x 2
= 16
Answer(s): 16
