A store owner had the same number of kiwis, mangoes and guavas at first. After 52 guavas, some kiwis and mangoes were thrown away, there were 100 fruits left. There were thrice as many kiwis as mangoes left. The number of guavas left was 33 less than the number of kiwis. How many mangoes were thrown away?
| |
Kiwis |
Mangoes |
Guavas |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 52 |
|
| After |
3 u |
1 u |
3 u - 33 |
100 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 33
= 7 u - 33
7 u - 33 = 100
7 u = 100 + 33
7 u = 133
1 u = 133 ÷ 7 = 19
Number of guavas at first
= 3 u - 33 + 52
= 3 x 19 - 33 + 52
= 57 - 33 + 52
= 76
The number of mangoes and guavas at first was the same.
Number of mangoes thrown away
= 76 - 1 u
= 76 - 19
= 57
Answer(s): 57
