Question

At a county fair, 50% of the entries are livestock. Of those entries, 80% are sold at the auction. If 140 entries of livestock are sold at the auction, how many total entries were there at the fair?

Answer 1

Answer: the total number of entries at the fair is 350

Explanation:

Let x represent the number of entries that were there at the fair.

At a county fair, 50% of the entries are livestock. This means that the number of livestock at the fair was

50/100 × x = 0.5x

Of those entries, 80% are sold at the auction. This means that the number of entries that were sold at the auction is

80/100 × 0.5x = 0.4x

If 140 entries of livestock are sold at the auction, it means that

0.4x = 140

x = 140/0.4

x = 350