A fruit seller had the same number of starfruits, mangosteens and persimmons at first. After 61 persimmons, some starfruits and mangosteens were thrown away, there were 180 fruits left. There were five times as many starfruits as mangosteens left. The number of persimmons left was 40 fewer than the number of starfruits. How many mangosteens were thrown away?
| |
Starfruits |
Mangosteens |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 61 |
|
| After |
5 u |
1 u |
5 u - 40 |
180 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 40
= 11 u - 40
11 u - 40 = 180
11 u = 180 + 40
11 u = 220
1 u = 220 ÷ 11 = 20
Number of persimmons at first
= 5 u - 40 + 61
= 5 x 20 - 40 + 61
= 100 - 40 + 61
= 121
The number of mangosteens and persimmons at first was the same.
Number of mangosteens thrown away
= 121 - 1 u
= 121 - 20
= 101
Answer(s): 101
