A vendor sold 7/5 of fruits to motorists and 1/4 to students. He also sold 3/7 of the remaining fruits to others. If the vendor was left with 168 fruits, how many fruits were sold to students?

1 answer

The vendor sold a total of 1 - 7/5 - 1/4 = 20/20 - 28/20 - 5/20 = 1/20 of the fruit to others.
The total quantity of fruits sold to others is 3/7 x 1/20 = 3/140 of the fruits.
The total quantity of fruits the vendor had was 140 + 168 = <<140+168=308>>308.
Hence, the vendor sold 308 x 5/20 = <<308*5/20=77>>77 fruits to others.
Thus, the vendor sold 308/20 x 1/4 = <<308/20*1/4=7.7>>7.7 fruits to students.
Rounding off 7.7 to the nearest whole number, the vendor sold <<8=8>>8 fruits to the students. Answer: \boxed{8}.