A store owner had the same number of guavas, persimmons and grapefruits at first. After 140 grapefruits, some guavas and persimmons were taken out, there were 90 fruits left. There were twice as many guavas as persimmons left. The number of grapefruits left was 35 fewer than the number of guavas. How many persimmons were taken out?
| |
Guavas |
Persimmons |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 140 |
|
| After |
2 u |
1 u |
2 u - 35 |
90 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 35
= 5 u - 35
5 u - 35 = 90
5 u = 90 + 35
5 u = 125
1 u = 125 ÷ 5 = 25
Number of grapefruits at first
= 2 u - 35 + 140
= 2 x 25 - 35 + 140
= 50 - 35 + 140
= 155
The number of persimmons and grapefruits at first was the same.
Number of persimmons taken out
= 155 - 1 u
= 155 - 25
= 130
Answer(s): 130
