A grocer had the same number of pomegranates, grapefruits and chikoos at first. After 138 chikoos, some pomegranates and grapefruits were sold, there were 149 fruits left. There were five times as many pomegranates as grapefruits left. The number of chikoos left was 27 less than the number of pomegranates. How many grapefruits were sold?
| |
Pomegranates |
Grapefruits |
Chikoos |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 138 |
|
| After |
5 u |
1 u |
5 u - 27 |
149 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 27
= 11 u - 27
11 u - 27 = 149
11 u = 149 + 27
11 u = 176
1 u = 176 ÷ 11 = 16
Number of chikoos at first
= 5 u - 27 + 138
= 5 x 16 - 27 + 138
= 80 - 27 + 138
= 191
The number of grapefruits and chikoos at first was the same.
Number of grapefruits sold
= 191 - 1 u
= 191 - 16
= 175
Answer(s): 175
