A stallholder had the same number of passion fruits, starfruits and guavas at first. After 40 guavas, some passion fruits and starfruits were given away, there were 138 fruits left. There were five times as many passion fruits as starfruits left. The number of guavas left was 27 less than the number of passion fruits. How many starfruits were given away?
| |
Passion Fruits |
Starfruits |
Guavas |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 40 |
|
| After |
5 u |
1 u |
5 u - 27 |
138 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 27
= 11 u - 27
11 u - 27 = 138
11 u = 138 + 27
11 u = 165
1 u = 165 ÷ 11 = 15
Number of guavas at first
= 5 u - 27 + 40
= 5 x 15 - 27 + 40
= 75 - 27 + 40
= 88
The number of starfruits and guavas at first was the same.
Number of starfruits given away
= 88 - 1 u
= 88 - 15
= 73
Answer(s): 73
