The ratio of mangoes to mangosteens is 3 : 8. If 104 mangosteens are added, the ratio of mangoes to mangosteens will be 1 : 7. How many mangosteens are there?
|
Mangoes |
Mangosteens |
Before |
3x1 = 3 u |
8x1 = 8 u |
Change |
|
+ 104 |
After |
1x3 = 3 u |
7x3 = 21 u |
The number of mangoes at first and in the end remains unchanged. Make the number of mangoes at first and in the end the same. LCM of 3 and 1 is 3.
Number of mangosteens added
= 21 u - 8 u
= 13 u
13 u = 104
1 u = 104 ÷ 13 = 8
Number of mangosteens
= 8 u
= 8 x 8
= 64
Answer(s): 64