SOLUTION: A cattle rancher is going to sell one of his prize bulls at an auction and would like to make $81,900 after paying a 9% commission to the auctioneer. For what selling price will th

Question 717759: A cattle rancher is going to sell one of his prize bulls at an auction and would like to make $81,900 after paying a 9% commission to the auctioneer. For what selling price will the rancher make this amount of money
Found 2 solutions by josmiceli, jndarrell:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the selling price
given:

The rancher's selling price is $90,000

Answer by jndarrell(58) (Show Source): You can put this solution on YOUR website!
x= selling price
x*(9%)=commission paid Convert your percent into a decimal by dividing it by 100 or simply moving the decimal to the left 2 places. 9%=0.09
The profit is the left over after the commission is paid.
x - .09x = 81,900
Simplify.. 1-.09
0.91x=81,900
Divide both sides by 0.91 to get x alone
x= 90,000
To check your work, take the proposed 90,000 selling price * 9%(0.09).
The commission would be $8,100
Selling price - commission = profit
Leaving you with a profit of $81,900.
:) *Don't forget your units when reporting your solution. $90,000
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