A grocer had the same number of chikoos, starfruits and passion fruits at first. After 85 passion fruits, some chikoos and starfruits were given away, there were 107 fruits left. There were thrice as many chikoos as starfruits left. The number of passion fruits left was 40 fewer than the number of chikoos. How many starfruits were given away?
| |
Chikoos |
Starfruits |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 85 |
|
| After |
3 u |
1 u |
3 u - 40 |
107 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 40
= 7 u - 40
7 u - 40 = 107
7 u = 107 + 40
7 u = 147
1 u = 147 ÷ 7 = 21
Number of passion fruits at first
= 3 u - 40 + 85
= 3 x 21 - 40 + 85
= 63 - 40 + 85
= 108
The number of starfruits and passion fruits at first was the same.
Number of starfruits given away
= 108 - 1 u
= 108 - 21
= 87
Answer(s): 87
