Penelope had an equal number of mangoes and mangosteens at first. She sold half of the mangosteens and bought another 21 mangoes. In the end, she had five times as many mangoes as mangosteens. Find the number of mangosteens she had at first.
|
Mangoes |
Mangosteens |
Before |
5 u - 21 |
2 u |
Change |
+ 21 |
- 1 u |
After |
5 u |
1 u |
The number of mangoes and mangosteens at first is the same.
5 u - 21 = 2 u
5 u - 2 u = 21
3 u = 21
1 u = 21 ÷ 3 = 7
Number of mangosteens that Penelope had at first
= 2 u
= 2 x 7
= 14
Answer(s): 14