A store owner had the same number of mangosteens, guavas and pomegranates at first. After 51 pomegranates, some mangosteens and guavas were removed, there were 124 fruits left. There were four times as many mangosteens as guavas left. The number of pomegranates left was 38 fewer than the number of mangosteens. How many guavas were removed?
| |
Mangosteens |
Guavas |
Pomegranates |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 51 |
|
| After |
4 u |
1 u |
4 u - 38 |
124 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 38
= 9 u - 38
9 u - 38 = 124
9 u = 124 + 38
9 u = 162
1 u = 162 ÷ 9 = 18
Number of pomegranates at first
= 4 u - 38 + 51
= 4 x 18 - 38 + 51
= 72 - 38 + 51
= 85
The number of guavas and pomegranates at first was the same.
Number of guavas removed
= 85 - 1 u
= 85 - 18
= 67
Answer(s): 67
