At a fruit stall, there were
13 as many pomegranates as persimmons. After 45 persimmons were sold, the number of pomegranates became
34 as many as the persimmons. How many fruits were at the fruit stall at first?
|
Pomegranates |
Persimmons |
Before |
1x3 = 3 u |
3x3 = 9 u |
Change |
|
- 45 |
After |
3x1 = 3 u |
4x1 = 4 u |
The number of pomegranates at first and in the end remains unchanged. Make the number of pomegranates the same. LCM of 1 and 3 is 3.
Number of persimmons sold
= 9 u - 4 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Number of fruits at first
= 3 u + 9 u
= 12 u
= 12 x 9
= 108
Answer(s): 108