A fruit stall had 4 times as many peaches as mangosteens. After 10 mangosteens were sold, the number of peaches became 12 times the number of the remaining mangosteens. How many mangosteens were there at the fruit stall at first?
|
Peaches |
Mangosteens |
Before |
4x3 = 12 u |
1x3 = 3 u |
Change |
|
- 10 |
After |
12 u |
1 u |
The number of peaches remains unchanged. Make the number of peaches the same. LCM of 4 and 12 is 12.
Number of mangosteens in the end = 3 u - 10
3 u - 10 = 1 u
3 u - 1 u = 10
2 u = 10
1 u = 10 ÷ 2 = 5
Number of mangosteens at the fruit stall at first
= 3 u
= 3 x 5
= 15
Answer(s): 15