A stallholder had the same number of lemons, mangosteens and dragonfruits at first. After 42 dragonfruits, some lemons and mangosteens were taken out, there were 113 fruits left. There were thrice as many lemons as mangosteens left. The number of dragonfruits left was 34 less than the number of lemons. How many mangosteens were taken out?
| |
Lemons |
Mangosteens |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 42 |
|
| After |
3 u |
1 u |
3 u - 34 |
113 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 34
= 7 u - 34
7 u - 34 = 113
7 u = 113 + 34
7 u = 147
1 u = 147 ÷ 7 = 21
Number of dragonfruits at first
= 3 u - 34 + 42
= 3 x 21 - 34 + 42
= 63 - 34 + 42
= 71
The number of mangosteens and dragonfruits at first was the same.
Number of mangosteens taken out
= 71 - 1 u
= 71 - 21
= 50
Answer(s): 50
