A store owner had the same number of chikoos, lemons and dragonfruits at first. After 106 dragonfruits, some chikoos and lemons were given away, there were 191 fruits left. There were thrice as many chikoos as lemons left. The number of dragonfruits left was 40 fewer than the number of chikoos. How many lemons were given away?
| |
Chikoos |
Lemons |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 106 |
|
| After |
3 u |
1 u |
3 u - 40 |
191 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 40
= 7 u - 40
7 u - 40 = 191
7 u = 191 + 40
7 u = 231
1 u = 231 ÷ 7 = 33
Number of dragonfruits at first
= 3 u - 40 + 106
= 3 x 33 - 40 + 106
= 99 - 40 + 106
= 165
The number of lemons and dragonfruits at first was the same.
Number of lemons given away
= 165 - 1 u
= 165 - 33
= 132
Answer(s): 132
