A store owner had the same number of kiwis, mangoes and dragonfruits at first. After 43 dragonfruits, some kiwis and mangoes were set aside, there were 154 fruits left. There were thrice as many kiwis as mangoes left. The number of dragonfruits left was 28 less than the number of kiwis. How many mangoes were set aside?
| |
Kiwis |
Mangoes |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 43 |
|
| After |
3 u |
1 u |
3 u - 28 |
154 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 28
= 7 u - 28
7 u - 28 = 154
7 u = 154 + 28
7 u = 182
1 u = 182 ÷ 7 = 26
Number of dragonfruits at first
= 3 u - 28 + 43
= 3 x 26 - 28 + 43
= 78 - 28 + 43
= 93
The number of mangoes and dragonfruits at first was the same.
Number of mangoes set aside
= 93 - 1 u
= 93 - 26
= 67
Answer(s): 67
