Question

At a county fair, 50\%50% of the entries are livestock. Of those entries, 80\%80% are sold at the auction. If 140140 entries of livestock are sold at the auction, how many total entries were there at the fair?

Answer 1

In this question, we were given that 50% of the entries are livestock.

Of the entries, we have that 80 % were sold at auction.

Now, let the total number of entries = x

So that :

`\begin{gathered} (50)/(100)\text{ x }(80)/(100)\text{ x X = 140} \\ =\text{ }\frac{4000\text{ x}}{10000}\text{ = 140} \\ \\ \text{cross}-\text{ multiply , we have that:} \\ 4000\text{ x = 10000 x 140} \\ x\text{ = }\frac{10000\text{ x 140}}{4000} \\ \text{ x= 350} \end{gathered}`

CONCLUSION: There were 350 total entries at the fair.