A grocer had the same number of starfruits, passion fruits and guavas at first. After 79 guavas, some starfruits and passion fruits were used, there were 95 fruits left. There were five times as many starfruits as passion fruits left. The number of guavas left was 37 less than the number of starfruits. How many passion fruits were used?
| |
Starfruits |
Passion Fruits |
Guavas |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 79 |
|
| After |
5 u |
1 u |
5 u - 37 |
95 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 37
= 11 u - 37
11 u - 37 = 95
11 u = 95 + 37
11 u = 132
1 u = 132 ÷ 11 = 12
Number of guavas at first
= 5 u - 37 + 79
= 5 x 12 - 37 + 79
= 60 - 37 + 79
= 102
The number of passion fruits and guavas at first was the same.
Number of passion fruits used
= 102 - 1 u
= 102 - 12
= 90
Answer(s): 90
