PSLEA fruit seller had an equal number of lemons, persimmons and guavas at first. After 61 guavas, some lemons and persimmons were sold, there were 170 fruits left. There were 2 times as many lemons as persimmons left. The number of guavas left was 20 less than the number of lemons left. How many persimmons were sold?
|
Lemons |
Persimmons |
Guavas |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 61 |
|
After |
2 u |
1 u |
2 u - 20 |
170 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 20
= 5 u - 20
5 u - 20 = 170
5 u = 170 + 20
5 u = 190
1 u = 190 ÷ 5 = 38
Number of guavas at first
= 2 u - 20 + 61
= 2 x 38 + 41
= 117
The number of guavas and persimmons at first is the same.
Number of persimmons sold
= 117 - 38
= 79
Answer(s): 79