A store owner had the same number of grapefruits, kiwis and pears at first. After 123 pears, some grapefruits and kiwis were used, there were 193 fruits left. There were four times as many grapefruits as kiwis left. The number of pears left was 23 less than the number of grapefruits. How many kiwis were used?
| |
Grapefruits |
Kiwis |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 123 |
|
| After |
4 u |
1 u |
4 u - 23 |
193 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 23
= 9 u - 23
9 u - 23 = 193
9 u = 193 + 23
9 u = 216
1 u = 216 ÷ 9 = 24
Number of pears at first
= 4 u - 23 + 123
= 4 x 24 - 23 + 123
= 96 - 23 + 123
= 196
The number of kiwis and pears at first was the same.
Number of kiwis used
= 196 - 1 u
= 196 - 24
= 172
Answer(s): 172
