A grocer had the same number of mangoes, guavas and passion fruits at first. After 99 passion fruits, some mangoes and guavas were removed, there were 162 fruits left. There were thrice as many mangoes as guavas left. The number of passion fruits left was 34 less than the number of mangoes. How many guavas were removed?
| |
Mangoes |
Guavas |
Passion Fruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 99 |
|
| After |
3 u |
1 u |
3 u - 34 |
162 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 34
= 7 u - 34
7 u - 34 = 162
7 u = 162 + 34
7 u = 196
1 u = 196 ÷ 7 = 28
Number of passion fruits at first
= 3 u - 34 + 99
= 3 x 28 - 34 + 99
= 84 - 34 + 99
= 149
The number of guavas and passion fruits at first was the same.
Number of guavas removed
= 149 - 1 u
= 149 - 28
= 121
Answer(s): 121
