A grocer had the same number of passion fruits, persimmons and grapefruits at first. After 115 grapefruits, some passion fruits and persimmons were sold, there were 196 fruits left. There were five times as many passion fruits as persimmons left. The number of grapefruits left was 35 fewer than the number of passion fruits. How many persimmons were sold?
| |
Passion Fruits |
Persimmons |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 115 |
|
| After |
5 u |
1 u |
5 u - 35 |
196 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 35
= 11 u - 35
11 u - 35 = 196
11 u = 196 + 35
11 u = 231
1 u = 231 ÷ 11 = 21
Number of grapefruits at first
= 5 u - 35 + 115
= 5 x 21 - 35 + 115
= 105 - 35 + 115
= 185
The number of persimmons and grapefruits at first was the same.
Number of persimmons sold
= 185 - 1 u
= 185 - 21
= 164
Answer(s): 164
