PSLEA fruit seller had an equal number of lemons, guavas and persimmons at first. After 57 persimmons, some lemons and guavas were sold, there were 84 fruits left. There were 3 times as many lemons as guavas left. The number of persimmons left was 21 fewer than the number of lemons left. How many guavas were sold?
|
Lemons |
Guavas |
Persimmons |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 57 |
|
After |
3 u |
1 u |
3 u - 21 |
84 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 21
= 7 u - 21
7 u - 21 = 84
7 u = 84 + 21
7 u = 105
1 u = 105 ÷ 7 = 15
Number of persimmons at first
= 3 u - 21 + 57
= 3 x 15 + 36
= 81
The number of persimmons and guavas at first is the same.
Number of guavas sold
= 81 - 15
= 66
Answer(s): 66