The Berry's sold their house after paying the real estate agent a commission of 6% of the selling price and then paying $1,486 in other costs and $90,000 on the mortgage, they received $49,514. What was the selling price of the house?

Solution:

selling price-cost=profit
Let s = selling price
cost= 0.06s + 1486 + 90,000

s - (0.06s + 1,486 + 90,000)= 49,514
s -0.06s - 1,486 - 90,000= 49,514
s-0.06s-1486= 49,514 +90,000
s-0.06s-1486=139,514
s-0,06s=139,514 + 1486
s-0.06=141,000 .....then I do not know what to do can someone help me please?

add 0.06 to both sides to cancel the 0.06 out.

what grade are you in?

I am in college. The answer says the next answer is .94s=141,000 and I do not see how they get .94s

1s minus .06s = .94s

s should equal $150,000

WOW, what a stupid oversight, guess I have been at this for to long. Thank you so much for your help, it was much appreciated.

To solve the equation, you can simplify it further:

s - 0.06s - 1486 = 141,000

Combine like terms by subtracting 0.06s from s:

0.94s - 1486 = 141,000

Add 1486 to both sides to isolate the variable:

0.94s = 142,486

Lastly, divide both sides by 0.94 to solve for s:

s = 142,486 / 0.94

Calculating this, you get:

s = $151,500

Therefore, the selling price of the house is $151,500.