A stallholder had the same number of pomegranates, passion fruits and persimmons at first. After 70 persimmons, some pomegranates and passion fruits were sold, there were 145 fruits left. There were twice as many pomegranates as passion fruits left. The number of persimmons left was 30 fewer than the number of pomegranates. How many passion fruits were sold?
| |
Pomegranates |
Passion Fruits |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 70 |
|
| After |
2 u |
1 u |
2 u - 30 |
145 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 30
= 5 u - 30
5 u - 30 = 145
5 u = 145 + 30
5 u = 175
1 u = 175 ÷ 5 = 35
Number of persimmons at first
= 2 u - 30 + 70
= 2 x 35 - 30 + 70
= 70 - 30 + 70
= 110
The number of passion fruits and persimmons at first was the same.
Number of passion fruits sold
= 110 - 1 u
= 110 - 35
= 75
Answer(s): 75
