A fruit seller had the same number of passion fruits, mangoes and kiwis at first. After 147 kiwis, some passion fruits and mangoes were sold, there were 147 fruits left. There were four times as many passion fruits as mangoes left. The number of kiwis left was 33 fewer than the number of passion fruits. How many mangoes were sold?
| |
Passion Fruits |
Mangoes |
Kiwis |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 147 |
|
| After |
4 u |
1 u |
4 u - 33 |
147 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 33
= 9 u - 33
9 u - 33 = 147
9 u = 147 + 33
9 u = 180
1 u = 180 ÷ 9 = 20
Number of kiwis at first
= 4 u - 33 + 147
= 4 x 20 - 33 + 147
= 80 - 33 + 147
= 194
The number of mangoes and kiwis at first was the same.
Number of mangoes sold
= 194 - 1 u
= 194 - 20
= 174
Answer(s): 174
