A grocer had the same number of starfruits, persimmons and peaches at first. After 40 peaches, some starfruits and persimmons were set aside, there were 184 fruits left. There were five times as many starfruits as persimmons left. The number of peaches left was 36 less than the number of starfruits. How many persimmons were set aside?
| |
Starfruits |
Persimmons |
Peaches |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 40 |
|
| After |
5 u |
1 u |
5 u - 36 |
184 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 36
= 11 u - 36
11 u - 36 = 184
11 u = 184 + 36
11 u = 220
1 u = 220 ÷ 11 = 20
Number of peaches at first
= 5 u - 36 + 40
= 5 x 20 - 36 + 40
= 100 - 36 + 40
= 104
The number of persimmons and peaches at first was the same.
Number of persimmons set aside
= 104 - 1 u
= 104 - 20
= 84
Answer(s): 84
