Victoria had an equal number of mangosteens and pomegranates at first. She sold one-third of the pomegranates and bought another 30 mangosteens. In the end, she had four times as many mangosteens as pomegranates. Find the number of pomegranates she had at first.
|
Mangosteens |
Pomegranates |
Before |
8 u - 30 |
3 u |
Change |
+ 30 |
- 1 u |
After |
8 u |
2 u |
The number of mangosteens and pomegranates at first is the same.
8 u - 30 = 3 u
8 u - 3 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of pomegranates that Victoria had at first
= 3 u
= 3 x 6
= 18
Answer(s): 18