A stallholder had the same number of kiwis, grapefruits and passion fruits at first. After 97 passion fruits, some kiwis and grapefruits were used, there were 191 fruits left. There were five times as many kiwis as grapefruits left. The number of passion fruits left was 29 less than the number of kiwis. How many grapefruits were used?
| |
Kiwis |
Grapefruits |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 97 |
|
| After |
5 u |
1 u |
5 u - 29 |
191 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 29
= 11 u - 29
11 u - 29 = 191
11 u = 191 + 29
11 u = 220
1 u = 220 ÷ 11 = 20
Number of passion fruits at first
= 5 u - 29 + 97
= 5 x 20 - 29 + 97
= 100 - 29 + 97
= 168
The number of grapefruits and passion fruits at first was the same.
Number of grapefruits used
= 168 - 1 u
= 168 - 20
= 148
Answer(s): 148
