A store owner had the same number of dragonfruits, mangoes and mangosteens at first. After 118 mangosteens, some dragonfruits and mangoes were taken out, there were 140 fruits left. There were four times as many dragonfruits as mangoes left. The number of mangosteens left was 31 fewer than the number of dragonfruits. How many mangoes were taken out?
| |
Dragonfruits |
Mangoes |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 118 |
|
| After |
4 u |
1 u |
4 u - 31 |
140 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 31
= 9 u - 31
9 u - 31 = 140
9 u = 140 + 31
9 u = 171
1 u = 171 ÷ 9 = 19
Number of mangosteens at first
= 4 u - 31 + 118
= 4 x 19 - 31 + 118
= 76 - 31 + 118
= 163
The number of mangoes and mangosteens at first was the same.
Number of mangoes taken out
= 163 - 1 u
= 163 - 19
= 144
Answer(s): 144
