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?

Question

Mathematics

Jadyn Mahoney

20 August, 00:23

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?

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Answers (1)

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Kaiden Carney · Answer 1

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