Tutor couldnt explain?

You paid $26696.5 for a new car. This includes the 7% sales tax. What was the original cost of the car?

So i got help from a tutor but she couldn't explain how she got it

4 Answers

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  • Ray
    Lv 7
    8 years ago

    The original cost of the car will be 100%.

    Thus we are told 107% = $26696.5

    Therefore 1% = $26696.5 / 107

    and 100% = (26696.5 / 107) x 100

  • nkron
    Lv 6
    8 years ago

    The equation for total price is:

    price + price * tax rate = total

    With your numbers (remember 7% = 7 / 100 = 0.07):

    price + price * 0.07 = $26696.50

    price * (1 + 0.07) = $26696.50

    price * 1.07 = $26696.50

    price = $26696.50 / 1.07

    price = $24950.00

    So the original price is $24950.00.

    You can double check your work with a sales tax calculator like: http://www.sale-tax.com/Calculator?price=24950.00&...

  • 8 years ago

    The car cost $26696.5 including 75 sales tax

    In equation form this looks like:

    26696.5 = x + 0.07x

    This is because you are adding the original cost of the car (x) as well as 7% of the original cost to get $26696.5.

    Now solve for the equation:

    26696.5 = 1.07x

    x = 26696.5/1.07

    I'll let you solve for that, hope this helps!

  • DWRead
    Lv 7
    8 years ago

    c = original price of car

    tax = 7% of c = 0.07c

    total cost = c + 0.07c = c(1 + 0.07) = 1.07c

    1.07c = 26696.5

    c = 26696.5/1.07 = [fill in]

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