A stallholder had the same number of passion fruits, pomegranates and persimmons at first. After 132 persimmons, some passion fruits and pomegranates were sold, there were 191 fruits left. There were five times as many passion fruits as pomegranates left. The number of persimmons left was 29 fewer than the number of passion fruits. How many pomegranates were sold?
| |
Passion Fruits |
Pomegranates |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 132 |
|
| After |
5 u |
1 u |
5 u - 29 |
191 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 29
= 11 u - 29
11 u - 29 = 191
11 u = 191 + 29
11 u = 220
1 u = 220 ÷ 11 = 20
Number of persimmons at first
= 5 u - 29 + 132
= 5 x 20 - 29 + 132
= 100 - 29 + 132
= 203
The number of pomegranates and persimmons at first was the same.
Number of pomegranates sold
= 203 - 1 u
= 203 - 20
= 183
Answer(s): 183
