A stallholder had the same number of dragonfruits, starfruits and passion fruits at first. After 145 passion fruits, some dragonfruits and starfruits were removed, there were 176 fruits left. There were five times as many dragonfruits as starfruits left. The number of passion fruits left was 22 less than the number of dragonfruits. How many starfruits were removed?
| |
Dragonfruits |
Starfruits |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 145 |
|
| After |
5 u |
1 u |
5 u - 22 |
176 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 22
= 11 u - 22
11 u - 22 = 176
11 u = 176 + 22
11 u = 198
1 u = 198 ÷ 11 = 18
Number of passion fruits at first
= 5 u - 22 + 145
= 5 x 18 - 22 + 145
= 90 - 22 + 145
= 213
The number of starfruits and passion fruits at first was the same.
Number of starfruits removed
= 213 - 1 u
= 213 - 18
= 195
Answer(s): 195
