A grocer had the same number of chikoos, mangosteens and kiwis at first. After 113 kiwis, some chikoos and mangosteens were removed, there were 107 fruits left. There were twice as many chikoos as mangosteens left. The number of kiwis left was 28 less than the number of chikoos. How many mangosteens were removed?
| |
Chikoos |
Mangosteens |
Kiwis |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 113 |
|
| After |
2 u |
1 u |
2 u - 28 |
107 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 28
= 5 u - 28
5 u - 28 = 107
5 u = 107 + 28
5 u = 135
1 u = 135 ÷ 5 = 27
Number of kiwis at first
= 2 u - 28 + 113
= 2 x 27 - 28 + 113
= 54 - 28 + 113
= 139
The number of mangosteens and kiwis at first was the same.
Number of mangosteens removed
= 139 - 1 u
= 139 - 27
= 112
Answer(s): 112
