The ratio of pomegranates to mangosteens is 3 : 4. If 40 mangosteens are added, the ratio of pomegranates to mangosteens will be 1 : 8. How many pomegranates are there?
|
Pomegranates |
Mangosteens |
Before |
3x1 = 3 u |
4x1 = 4 u |
Change |
|
+ 40 |
After |
1x3 = 3 u |
8x3 = 24 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 1 is 3.
Number of mangosteens added
= 24 u - 4 u
= 20 u
20 u = 40
1 u = 40 ÷ 20 = 2
Number of pomegranates
= 3 u
= 3 x 2
= 6
Answer(s): 6