A grocer had the same number of guavas, passion fruits and mangoes at first. After 134 mangoes, some guavas and passion fruits were taken out, there were 112 fruits left. There were thrice as many guavas as passion fruits left. The number of mangoes left was 14 fewer than the number of guavas. How many passion fruits were taken out?
| |
Guavas |
Passion Fruits |
Mangoes |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 134 |
|
| After |
3 u |
1 u |
3 u - 14 |
112 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 14
= 7 u - 14
7 u - 14 = 112
7 u = 112 + 14
7 u = 126
1 u = 126 ÷ 7 = 18
Number of mangoes at first
= 3 u - 14 + 134
= 3 x 18 - 14 + 134
= 54 - 14 + 134
= 174
The number of passion fruits and mangoes at first was the same.
Number of passion fruits taken out
= 174 - 1 u
= 174 - 18
= 156
Answer(s): 156
