PSLEA grocer had the same number of persimmons, grapefruits and chikoos at first. After 67 chikoos, some persimmons and grapefruits were sold, there were 138 fruits left. There were 3 times as many persimmons as grapefruits left. The number of chikoos left was 30 fewer than the number of persimmons left. How many grapefruits were sold?
|
Persimmons |
Grapefruits |
Chikoos |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 67 |
|
After |
3 u |
1 u |
3 u - 30 |
138 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 30
= 7 u - 30
7 u - 30 = 138
7 u = 138 + 30
7 u = 168
1 u = 168 ÷ 7 = 24
Number of chikoos at first
= 3 u - 30 + 67
= 3 x 24 + 37
= 109
The number of chikoos and grapefruits at first is the same.
Number of grapefruits sold
= 109 - 24
= 85
Answer(s): 85