A stallholder had the same number of kiwis, guavas and passion fruits at first. After 67 passion fruits, some kiwis and guavas were sold, there were 144 fruits left. There were thrice as many kiwis as guavas left. The number of passion fruits left was 17 less than the number of kiwis. How many guavas were sold?
| |
Kiwis |
Guavas |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 67 |
|
| After |
3 u |
1 u |
3 u - 17 |
144 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 17
= 7 u - 17
7 u - 17 = 144
7 u = 144 + 17
7 u = 161
1 u = 161 ÷ 7 = 23
Number of passion fruits at first
= 3 u - 17 + 67
= 3 x 23 - 17 + 67
= 69 - 17 + 67
= 119
The number of guavas and passion fruits at first was the same.
Number of guavas sold
= 119 - 1 u
= 119 - 23
= 96
Answer(s): 96
