Answer:
$40,000
Step-by-step explanation:
Let x represent the selling price of the bull.
We have been given that a cattle rancher would like to make $36,400 after paying a 9% commission to the auctioneer.
The commission would be 9% of selling price, that is [tex]\frac{9}{100}x=0.09x[/tex].
The profit of the rancher can be counted after paying off the commission that would be [tex]x-0.09x[/tex].
Since rancher wants to make $36,400 after paying a 9% commission, so we can represent this information in an equation as:
[tex]x-0.09x=36,400[/tex]
[tex]0.91x=36,400[/tex]
[tex]\frac{0.91x}{0.91}=\frac{36,400}{0.91}[/tex]
[tex]x=40,000[/tex]
Therefore, for a selling price of $40,000 the rancher will make the required amount of money.
