A fruit stall had 3 times as many starfruits as pears. After 10 pears were sold, the number of starfruits became 9 times the number of the remaining pears. How many pears were there at the fruit stall at first?
|
Starfruits |
Pears |
Before |
3x3 = 9 u |
1x3 = 3 u |
Change |
|
- 10 |
After |
9 u |
1 u |
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 3 and 9 is 9.
Number of pears 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 pears at the fruit stall at first
= 3 u
= 3 x 5
= 15
Answer(s): 15