A fruit seller had the same number of pomegranates, starfruits and persimmons at first. After 138 persimmons, some pomegranates and starfruits were used, there were 186 fruits left. There were five times as many pomegranates as starfruits left. The number of persimmons left was 34 less than the number of pomegranates. How many starfruits were used?
| |
Pomegranates |
Starfruits |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 138 |
|
| After |
5 u |
1 u |
5 u - 34 |
186 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 34
= 11 u - 34
11 u - 34 = 186
11 u = 186 + 34
11 u = 220
1 u = 220 ÷ 11 = 20
Number of persimmons at first
= 5 u - 34 + 138
= 5 x 20 - 34 + 138
= 100 - 34 + 138
= 204
The number of starfruits and persimmons at first was the same.
Number of starfruits used
= 204 - 1 u
= 204 - 20
= 184
Answer(s): 184
