A stallholder had the same number of passion fruits, mangoes and persimmons at first. After 72 persimmons, some passion fruits and mangoes were given away, there were 182 fruits left. There were four times as many passion fruits as mangoes left. The number of persimmons left was 34 less than the number of passion fruits. How many mangoes were given away?
| |
Passion Fruits |
Mangoes |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 72 |
|
| After |
4 u |
1 u |
4 u - 34 |
182 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 34
= 9 u - 34
9 u - 34 = 182
9 u = 182 + 34
9 u = 216
1 u = 216 ÷ 9 = 24
Number of persimmons at first
= 4 u - 34 + 72
= 4 x 24 - 34 + 72
= 96 - 34 + 72
= 134
The number of mangoes and persimmons at first was the same.
Number of mangoes given away
= 134 - 1 u
= 134 - 24
= 110
Answer(s): 110
