A grocer had the same number of passion fruits, mangosteens and persimmons at first. After 119 persimmons, some passion fruits and mangosteens were taken out, there were 114 fruits left. There were twice as many passion fruits as mangosteens left. The number of persimmons left was 36 fewer than the number of passion fruits. How many mangosteens were taken out?
| |
Passion Fruits |
Mangosteens |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 119 |
|
| After |
2 u |
1 u |
2 u - 36 |
114 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 36
= 5 u - 36
5 u - 36 = 114
5 u = 114 + 36
5 u = 150
1 u = 150 ÷ 5 = 30
Number of persimmons at first
= 2 u - 36 + 119
= 2 x 30 - 36 + 119
= 60 - 36 + 119
= 143
The number of mangosteens and persimmons at first was the same.
Number of mangosteens taken out
= 143 - 1 u
= 143 - 30
= 113
Answer(s): 113
