A fruit stall had 3 times as many pears as mangosteens. After 10 mangosteens were sold, the number of pears became 9 times the number of the remaining mangosteens. How many mangosteens were there at the fruit stall at first?
| |
Pears |
Mangosteens |
| Before |
3x3 =
9 u |
1x3 =
3 u |
| Change |
|
- 10 |
| After |
9 u |
1 u |
The number of pears remains unchanged. Make the number of pears the same. LCM of 3 and 9 is 9.
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
