A grocer had the same number of mangosteens, guavas and peaches at first. After 82 peaches, some mangosteens and guavas were removed, there were 157 fruits left. There were four times as many mangosteens as guavas left. The number of peaches left was 32 fewer than the number of mangosteens. How many guavas were removed?
| |
Mangosteens |
Guavas |
Peaches |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 82 |
|
| After |
4 u |
1 u |
4 u - 32 |
157 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 32
= 9 u - 32
9 u - 32 = 157
9 u = 157 + 32
9 u = 189
1 u = 189 ÷ 9 = 21
Number of peaches at first
= 4 u - 32 + 82
= 4 x 21 - 32 + 82
= 84 - 32 + 82
= 134
The number of guavas and peaches at first was the same.
Number of guavas removed
= 134 - 1 u
= 134 - 21
= 113
Answer(s): 113
