A fruit seller had the same number of guavas, persimmons and pomegranates at first. After 75 pomegranates, some guavas and persimmons were used, there were 153 fruits left. There were thrice as many guavas as persimmons left. The number of pomegranates left was 36 less than the number of guavas. How many persimmons were used?
| |
Guavas |
Persimmons |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 75 |
|
| After |
3 u |
1 u |
3 u - 36 |
153 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 36
= 7 u - 36
7 u - 36 = 153
7 u = 153 + 36
7 u = 189
1 u = 189 ÷ 7 = 27
Number of pomegranates at first
= 3 u - 36 + 75
= 3 x 27 - 36 + 75
= 81 - 36 + 75
= 120
The number of persimmons and pomegranates at first was the same.
Number of persimmons used
= 120 - 1 u
= 120 - 27
= 93
Answer(s): 93
