PSLEA store owner had an equal number of lemons, persimmons and peaches at first. After 78 peaches, some lemons and persimmons were sold, there were 111 fruits left. There were 4 times as many lemons as persimmons left. The number of peaches left was 24 less than the number of lemons left. How many persimmons were sold?
|
Lemons |
Persimmons |
Peaches |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 78 |
|
After |
4 u |
1 u |
4 u - 24 |
111 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 24
= 9 u - 24
9 u - 24 = 111
9 u = 111 + 24
9 u = 135
1 u = 135 ÷ 9 = 15
Number of peaches at first
= 4 u - 24 + 78
= 4 x 15 + 54
= 114
The number of peaches and persimmons at first is the same.
Number of persimmons sold
= 114 - 15
= 99
Answer(s): 99