A stallholder had the same number of peaches, pomegranates and passion fruits at first. After 90 passion fruits, some peaches and pomegranates were given away, there were 149 fruits left. There were twice as many peaches as pomegranates left. The number of passion fruits left was 16 fewer than the number of peaches. How many pomegranates were given away?
| |
Peaches |
Pomegranates |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 90 |
|
| After |
2 u |
1 u |
2 u - 16 |
149 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 16
= 5 u - 16
5 u - 16 = 149
5 u = 149 + 16
5 u = 165
1 u = 165 ÷ 5 = 33
Number of passion fruits at first
= 2 u - 16 + 90
= 2 x 33 - 16 + 90
= 66 - 16 + 90
= 140
The number of pomegranates and passion fruits at first was the same.
Number of pomegranates given away
= 140 - 1 u
= 140 - 33
= 107
Answer(s): 107
