A store owner had the same number of pears, persimmons and pomegranates at first. After 87 pomegranates, some pears and persimmons were used, there were 188 fruits left. There were twice as many pears as persimmons left. The number of pomegranates left was 32 fewer than the number of pears. How many persimmons were used?
| |
Pears |
Persimmons |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 87 |
|
| After |
2 u |
1 u |
2 u - 32 |
188 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 32
= 5 u - 32
5 u - 32 = 188
5 u = 188 + 32
5 u = 220
1 u = 220 ÷ 5 = 44
Number of pomegranates at first
= 2 u - 32 + 87
= 2 x 44 - 32 + 87
= 88 - 32 + 87
= 143
The number of persimmons and pomegranates at first was the same.
Number of persimmons used
= 143 - 1 u
= 143 - 44
= 99
Answer(s): 99
