SOLUTION: A car cost $4485 after an 8% discount. What is the original price of the car? My answer makes no sense to me. part/whole=x/100=4485/x=8/100 8x=44850

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A car cost $4485 after an 8% discount. What is the original price of the car? My answer makes no sense to me. part/whole=x/100=4485/x=8/100 8x=44850      Log On


   

Question 203894This question is from textbook Mathematics for Elementary Teachers
: A car cost $4485 after an 8% discount. What is the original price of the car?
My answer makes no sense to me.
part/whole=x/100=4485/x=8/100

8x=448500
x=$56,062.50
Please help This question is from textbook Mathematics for Elementary Teachers

Found 2 solutions by scott8148, lazi:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
an 8% discount means that the price paid was 92% (100-8) of the original price

part/whole = p/100 = 4485/x = 92/100

Answer by lazi(15) About Me  (Show Source):
You can put this solution on YOUR website!
This is what we know:
$4485 = 92% of the original price (100% - 8%)
so find how much one percent is from what we know.
$4485/92 = $48.75
so now we know that 1% = $48.75
now to find the whole thing just take $48.75 * 100%= $4875
To check:
Before discount $4875
discount 8%
$4875*.08=$390
Total minus discount
$4875-$390=$4485
Formula let x be the total price before discount. 8%=.08
x - .08x = 4485
total$ - discount$ = remaining$
1x - .08x = 4485
combine like terms
.92x = 4485
solving for x we need to get it by itself. so divide by .92 on both side
.92x = 4485
x = 4485/.92
x = 4875