A grocer had the same number of peaches, passion fruits and mangosteens at first. After 133 mangosteens, some peaches and passion fruits were taken out, there were 156 fruits left. There were twice as many peaches as passion fruits left. The number of mangosteens left was 39 less than the number of peaches. How many passion fruits were taken out?
| |
Peaches |
Passion Fruits |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 133 |
|
| After |
2 u |
1 u |
2 u - 39 |
156 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 39
= 5 u - 39
5 u - 39 = 156
5 u = 156 + 39
5 u = 195
1 u = 195 ÷ 5 = 39
Number of mangosteens at first
= 2 u - 39 + 133
= 2 x 39 - 39 + 133
= 78 - 39 + 133
= 172
The number of passion fruits and mangosteens at first was the same.
Number of passion fruits taken out
= 172 - 1 u
= 172 - 39
= 133
Answer(s): 133
