A grocer had the same number of guavas, pomegranates and peaches at first. After 49 peaches, some guavas and pomegranates were taken out, there were 196 fruits left. There were twice as many guavas as pomegranates left. The number of peaches left was 39 less than the number of guavas. How many pomegranates were taken out?
| |
Guavas |
Pomegranates |
Peaches |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 49 |
|
| After |
2 u |
1 u |
2 u - 39 |
196 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 39
= 5 u - 39
5 u - 39 = 196
5 u = 196 + 39
5 u = 235
1 u = 235 ÷ 5 = 47
Number of peaches at first
= 2 u - 39 + 49
= 2 x 47 - 39 + 49
= 94 - 39 + 49
= 104
The number of pomegranates and peaches at first was the same.
Number of pomegranates taken out
= 104 - 1 u
= 104 - 47
= 57
Answer(s): 57
