A store owner had the same number of pears, lemons and mangosteens at first. After 67 mangosteens, some pears and lemons were removed, there were 143 fruits left. There were twice as many pears as lemons left. The number of mangosteens left was 37 less than the number of pears. How many lemons were removed?
| |
Pears |
Lemons |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 67 |
|
| After |
2 u |
1 u |
2 u - 37 |
143 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 37
= 5 u - 37
5 u - 37 = 143
5 u = 143 + 37
5 u = 180
1 u = 180 ÷ 5 = 36
Number of mangosteens at first
= 2 u - 37 + 67
= 2 x 36 - 37 + 67
= 72 - 37 + 67
= 102
The number of lemons and mangosteens at first was the same.
Number of lemons removed
= 102 - 1 u
= 102 - 36
= 66
Answer(s): 66
