A fruit seller had the same number of starfruits, peaches and lemons at first. After 38 lemons, some starfruits and peaches were removed, there were 174 fruits left. There were thrice as many starfruits as peaches left. The number of lemons left was 36 fewer than the number of starfruits. How many peaches were removed?
| |
Starfruits |
Peaches |
Lemons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 38 |
|
| After |
3 u |
1 u |
3 u - 36 |
174 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 36
= 7 u - 36
7 u - 36 = 174
7 u = 174 + 36
7 u = 210
1 u = 210 ÷ 7 = 30
Number of lemons at first
= 3 u - 36 + 38
= 3 x 30 - 36 + 38
= 90 - 36 + 38
= 92
The number of peaches and lemons at first was the same.
Number of peaches removed
= 92 - 1 u
= 92 - 30
= 62
Answer(s): 62
