A grocer had the same number of guavas, grapefruits and persimmons at first. After 62 persimmons, some guavas and grapefruits were sold, there were 195 fruits left. There were four times as many guavas as grapefruits left. The number of persimmons left was 21 fewer than the number of guavas. How many grapefruits were sold?
| |
Guavas |
Grapefruits |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 62 |
|
| After |
4 u |
1 u |
4 u - 21 |
195 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 21
= 9 u - 21
9 u - 21 = 195
9 u = 195 + 21
9 u = 216
1 u = 216 ÷ 9 = 24
Number of persimmons at first
= 4 u - 21 + 62
= 4 x 24 - 21 + 62
= 96 - 21 + 62
= 137
The number of grapefruits and persimmons at first was the same.
Number of grapefruits sold
= 137 - 1 u
= 137 - 24
= 113
Answer(s): 113
