The ratio of guavas to mangosteens is 3 : 7. If 38 mangosteens are added, the ratio of guavas to mangosteens will be 2 : 11. How many mangosteens are there?
|
Guavas |
Mangosteens |
Before |
3x2 = 6 u |
7x2 = 14 u |
Change |
|
+ 38 |
After |
2x3 = 6 u |
11x3 = 33 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 2 is 6.
Number of mangosteens added
= 33 u - 14 u
= 19 u
19 u = 38
1 u = 38 ÷ 19 = 2
Number of mangosteens
= 14 u
= 14 x 2
= 28
Answer(s): 28