A store owner had the same number of lemons, starfruits and dragonfruits at first. After 76 dragonfruits, some lemons and starfruits were given away, there were 183 fruits left. There were twice as many lemons as starfruits left. The number of dragonfruits left was 32 fewer than the number of lemons. How many starfruits were given away?
| |
Lemons |
Starfruits |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 76 |
|
| After |
2 u |
1 u |
2 u - 32 |
183 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 32
= 5 u - 32
5 u - 32 = 183
5 u = 183 + 32
5 u = 215
1 u = 215 ÷ 5 = 43
Number of dragonfruits at first
= 2 u - 32 + 76
= 2 x 43 - 32 + 76
= 86 - 32 + 76
= 130
The number of starfruits and dragonfruits at first was the same.
Number of starfruits given away
= 130 - 1 u
= 130 - 43
= 87
Answer(s): 87
