A store owner had the same number of starfruits, passion fruits and mangosteens at first. After 40 mangosteens, some starfruits and passion fruits were given away, there were 182 fruits left. There were thrice as many starfruits as passion fruits left. The number of mangosteens left was 35 fewer than the number of starfruits. How many passion fruits were given away?
| |
Starfruits |
Passion Fruits |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 40 |
|
| After |
3 u |
1 u |
3 u - 35 |
182 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 35
= 7 u - 35
7 u - 35 = 182
7 u = 182 + 35
7 u = 217
1 u = 217 ÷ 7 = 31
Number of mangosteens at first
= 3 u - 35 + 40
= 3 x 31 - 35 + 40
= 93 - 35 + 40
= 98
The number of passion fruits and mangosteens at first was the same.
Number of passion fruits given away
= 98 - 1 u
= 98 - 31
= 67
Answer(s): 67
