A fruit stall had 3 times as many pomegranates as pears. After 12 pears were sold, the number of pomegranates became 9 times the number of the remaining pears. How many pears were there at the fruit stall at first?
| |
Pomegranates |
Pears |
| Before |
3x3 =
9 u |
1x3 =
3 u |
| Change |
|
- 12 |
| After |
9 u |
1 u |
The number of pomegranates remains unchanged. Make the number of pomegranates the same. LCM of 3 and 9 is 9.
Number of pears in the end = 3 u - 12
3 u - 12 = 1 u
3 u - 1 u = 12
2 u = 12
1 u = 12 ÷ 2 = 6
Number of pears at the fruit stall at first
= 3 u
= 3 x 6
= 18
Answer(s): 18
