A stallholder had the same number of peaches, dragonfruits and mangosteens at first. After 71 mangosteens, some peaches and dragonfruits were sold, there were 184 fruits left. There were thrice as many peaches as dragonfruits left. The number of mangosteens left was 12 less than the number of peaches. How many dragonfruits were sold?
| |
Peaches |
Dragonfruits |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 71 |
|
| After |
3 u |
1 u |
3 u - 12 |
184 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 12
= 7 u - 12
7 u - 12 = 184
7 u = 184 + 12
7 u = 196
1 u = 196 ÷ 7 = 28
Number of mangosteens at first
= 3 u - 12 + 71
= 3 x 28 - 12 + 71
= 84 - 12 + 71
= 143
The number of dragonfruits and mangosteens at first was the same.
Number of dragonfruits sold
= 143 - 1 u
= 143 - 28
= 115
Answer(s): 115
