SOLUTION: X. 8.75% = $1785.00 How do you figure "x"? If the total item costs $1785.00 and the tax is 8.75%, what is the base cost of the item?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: X. 8.75% = $1785.00 How do you figure "x"? If the total item costs $1785.00 and the tax is 8.75%, what is the base cost of the item?      Log On


   



Question 39243: X. 8.75% = $1785.00
How do you figure "x"?
If the total item costs $1785.00 and the tax is 8.75%, what is the base cost of the item?

Found 2 solutions by fractalier, stanbon:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If the total cost of an item is $1785, that total contains the 100% of the actual item's price plus 8.75% tax...so let x = the actual cost of the item and we can write
(1 + .0875)x = 1785
1.0875x = 1785 and
x = 1785 / 1.0875
x = $1641.38

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!

How do you figure "x"?
If the total item costs $1785.00 and the tax is 8.75%, what is the base cost of the item?
Let "x" be the base cost of the item.
Then x+0.875x=1785
1.875x=1785
x=$952.00 (this is the base cost)
Cheers,
Stan H.