A stallholder had the same number of grapefruits, persimmons and starfruits at first. After 115 starfruits, some grapefruits and persimmons were taken out, there were 194 fruits left. There were twice as many grapefruits as persimmons left. The number of starfruits left was 11 less than the number of grapefruits. How many persimmons were taken out?
| |
Grapefruits |
Persimmons |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 115 |
|
| After |
2 u |
1 u |
2 u - 11 |
194 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 11
= 5 u - 11
5 u - 11 = 194
5 u = 194 + 11
5 u = 205
1 u = 205 ÷ 5 = 41
Number of starfruits at first
= 2 u - 11 + 115
= 2 x 41 - 11 + 115
= 82 - 11 + 115
= 186
The number of persimmons and starfruits at first was the same.
Number of persimmons taken out
= 186 - 1 u
= 186 - 41
= 145
Answer(s): 145
