A stallholder had the same number of starfruits, mangoes and passion fruits at first. After 101 passion fruits, some starfruits and mangoes were removed, there were 183 fruits left. There were twice as many starfruits as mangoes left. The number of passion fruits left was 37 fewer than the number of starfruits. How many mangoes were removed?
| |
Starfruits |
Mangoes |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 101 |
|
| After |
2 u |
1 u |
2 u - 37 |
183 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 37
= 5 u - 37
5 u - 37 = 183
5 u = 183 + 37
5 u = 220
1 u = 220 ÷ 5 = 44
Number of passion fruits at first
= 2 u - 37 + 101
= 2 x 44 - 37 + 101
= 88 - 37 + 101
= 152
The number of mangoes and passion fruits at first was the same.
Number of mangoes removed
= 152 - 1 u
= 152 - 44
= 108
Answer(s): 108
