A fruit stall had 3 times as many passion fruits as pears. After 14 pears were sold, the number of passion fruits became 9 times the number of the remaining pears. How many pears were there at the fruit stall at first?
|
Passion Fruits |
Pears |
Before |
3x3 = 9 u |
1x3 = 3 u |
Change |
|
- 14 |
After |
9 u |
1 u |
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 3 and 9 is 9.
Number of pears in the end = 3 u - 14
3 u - 14 = 1 u
3 u - 1 u = 14
2 u = 14
1 u = 14 ÷ 2 = 7
Number of pears at the fruit stall at first
= 3 u
= 3 x 7
= 21
Answer(s): 21