Answer: the total number of entries at the fair is 350
Step-by-step 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
