A store owner had the same number of starfruits, mangosteens and dragonfruits at first. After 51 dragonfruits, some starfruits and mangosteens were used, there were 184 fruits left. There were five times as many starfruits as mangosteens left. The number of dragonfruits left was 25 less than the number of starfruits. How many mangosteens were used?
| |
Starfruits |
Mangosteens |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 51 |
|
| After |
5 u |
1 u |
5 u - 25 |
184 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 25
= 11 u - 25
11 u - 25 = 184
11 u = 184 + 25
11 u = 209
1 u = 209 ÷ 11 = 19
Number of dragonfruits at first
= 5 u - 25 + 51
= 5 x 19 - 25 + 51
= 95 - 25 + 51
= 121
The number of mangosteens and dragonfruits at first was the same.
Number of mangosteens used
= 121 - 1 u
= 121 - 19
= 102
Answer(s): 102
