A store owner had the same number of passion fruits, starfruits and grapefruits at first. After 40 grapefruits, some passion fruits and starfruits were removed, there were 95 fruits left. There were thrice as many passion fruits as starfruits left. The number of grapefruits left was 38 fewer than the number of passion fruits. How many starfruits were removed?
| |
Passion Fruits |
Starfruits |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 40 |
|
| After |
3 u |
1 u |
3 u - 38 |
95 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 38
= 7 u - 38
7 u - 38 = 95
7 u = 95 + 38
7 u = 133
1 u = 133 ÷ 7 = 19
Number of grapefruits at first
= 3 u - 38 + 40
= 3 x 19 - 38 + 40
= 57 - 38 + 40
= 59
The number of starfruits and grapefruits at first was the same.
Number of starfruits removed
= 59 - 1 u
= 59 - 19
= 40
Answer(s): 40
