A fruit seller had the same number of grapefruits, chikoos and mangosteens at first. After 94 mangosteens, some grapefruits and chikoos were given away, there were 126 fruits left. There were thrice as many grapefruits as chikoos left. The number of mangosteens left was 35 less than the number of grapefruits. How many chikoos were given away?
| |
Grapefruits |
Chikoos |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 94 |
|
| After |
3 u |
1 u |
3 u - 35 |
126 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 35
= 7 u - 35
7 u - 35 = 126
7 u = 126 + 35
7 u = 161
1 u = 161 ÷ 7 = 23
Number of mangosteens at first
= 3 u - 35 + 94
= 3 x 23 - 35 + 94
= 69 - 35 + 94
= 128
The number of chikoos and mangosteens at first was the same.
Number of chikoos given away
= 128 - 1 u
= 128 - 23
= 105
Answer(s): 105
