The ratio of pomegranates to mangosteens is 3 : 7. If 84 mangosteens are added, the ratio of pomegranates to mangosteens will be 2 : 7. How many pomegranates are there?
|
Pomegranates |
Mangosteens |
Before |
3x2 = 6 u |
7x2 = 14 u |
Change |
|
+ 84 |
After |
2x3 = 6 u |
7x3 = 21 u |
The number of pomegranates at first and in the end remains unchanged. Make the number of pomegranates at first and in the end the same. LCM of 3 and 2 is 6.
Number of mangosteens added
= 21 u - 14 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Number of pomegranates
= 6 u
= 6 x 12
= 72
Answer(s): 72