A store owner had the same number of starfruits, persimmons and pomegranates at first. After 91 pomegranates, some starfruits and persimmons were sold, there were 118 fruits left. There were four times as many starfruits as persimmons left. The number of pomegranates left was 17 less than the number of starfruits. How many persimmons were sold?
| |
Starfruits |
Persimmons |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 91 |
|
| After |
4 u |
1 u |
4 u - 17 |
118 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 17
= 9 u - 17
9 u - 17 = 118
9 u = 118 + 17
9 u = 135
1 u = 135 ÷ 9 = 15
Number of pomegranates at first
= 4 u - 17 + 91
= 4 x 15 - 17 + 91
= 60 - 17 + 91
= 134
The number of persimmons and pomegranates at first was the same.
Number of persimmons sold
= 134 - 1 u
= 134 - 15
= 119
Answer(s): 119
