A store owner had the same number of chikoos, pomegranates and dragonfruits at first. After 54 dragonfruits, some chikoos and pomegranates were set aside, there were 132 fruits left. There were four times as many chikoos as pomegranates left. The number of dragonfruits left was 30 fewer than the number of chikoos. How many pomegranates were set aside?
| |
Chikoos |
Pomegranates |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 54 |
|
| After |
4 u |
1 u |
4 u - 30 |
132 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 30
= 9 u - 30
9 u - 30 = 132
9 u = 132 + 30
9 u = 162
1 u = 162 ÷ 9 = 18
Number of dragonfruits at first
= 4 u - 30 + 54
= 4 x 18 - 30 + 54
= 72 - 30 + 54
= 96
The number of pomegranates and dragonfruits at first was the same.
Number of pomegranates set aside
= 96 - 1 u
= 96 - 18
= 78
Answer(s): 78
