A fruit seller had the same number of persimmons, mangoes and dragonfruits at first. After 110 dragonfruits, some persimmons and mangoes were sold, there were 155 fruits left. There were thrice as many persimmons as mangoes left. The number of dragonfruits left was 27 fewer than the number of persimmons. How many mangoes were sold?
| |
Persimmons |
Mangoes |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 110 |
|
| After |
3 u |
1 u |
3 u - 27 |
155 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 27
= 7 u - 27
7 u - 27 = 155
7 u = 155 + 27
7 u = 182
1 u = 182 ÷ 7 = 26
Number of dragonfruits at first
= 3 u - 27 + 110
= 3 x 26 - 27 + 110
= 78 - 27 + 110
= 161
The number of mangoes and dragonfruits at first was the same.
Number of mangoes sold
= 161 - 1 u
= 161 - 26
= 135
Answer(s): 135
