A stallholder had the same number of dragonfruits, persimmons and guavas at first. After 60 guavas, some dragonfruits and persimmons were thrown away, there were 90 fruits left. There were four times as many dragonfruits as persimmons left. The number of guavas left was 27 fewer than the number of dragonfruits. How many persimmons were thrown away?
| |
Dragonfruits |
Persimmons |
Guavas |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 60 |
|
| After |
4 u |
1 u |
4 u - 27 |
90 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 27
= 9 u - 27
9 u - 27 = 90
9 u = 90 + 27
9 u = 117
1 u = 117 ÷ 9 = 13
Number of guavas at first
= 4 u - 27 + 60
= 4 x 13 - 27 + 60
= 52 - 27 + 60
= 85
The number of persimmons and guavas at first was the same.
Number of persimmons thrown away
= 85 - 1 u
= 85 - 13
= 72
Answer(s): 72
