A stallholder had the same number of mangoes, dragonfruits and persimmons at first. After 74 persimmons, some mangoes and dragonfruits were set aside, there were 169 fruits left. There were five times as many mangoes as dragonfruits left. The number of persimmons left was 40 less than the number of mangoes. How many dragonfruits were set aside?
| |
Mangoes |
Dragonfruits |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 74 |
|
| After |
5 u |
1 u |
5 u - 40 |
169 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 40
= 11 u - 40
11 u - 40 = 169
11 u = 169 + 40
11 u = 209
1 u = 209 ÷ 11 = 19
Number of persimmons at first
= 5 u - 40 + 74
= 5 x 19 - 40 + 74
= 95 - 40 + 74
= 129
The number of dragonfruits and persimmons at first was the same.
Number of dragonfruits set aside
= 129 - 1 u
= 129 - 19
= 110
Answer(s): 110
