Madison bought a gift for $17.55. Sales tax of 8% was included in the price she paid.
What was the price of the gift before the tax was added?
A.
$15.75
B.
$16.15
C.
$16.25
D.
$16.47
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OpenStudy (anonymous):
One second
OpenStudy (calculusxy):
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OpenStudy (anonymous):
oh well @calculusxy looks like he is helping lol
OpenStudy (calculusxy):
100% represents the full price without the sales tax
108% representes the full price with the sales tax
OpenStudy (calculusxy):
@CupcakeQueen10 I am a she :)
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OpenStudy (anonymous):
i didn't mean to put he sorry
OpenStudy (purple_pink):
oh lol
OpenStudy (calculusxy):
100% (full price) is what we don't know (\(x\))
108% (full price + tax) is what we what do know because it says that the price with the sales tax of 8% is $17.55
OpenStudy (calculusxy):
We can use a proportion to solve this problem.
\(\large \frac{100}{x} = \frac{108}{17.55}\)
OpenStudy (calculusxy):
Solve for \(x\).
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OpenStudy (anonymous):
oh yea now i remember this is easy! lol
OpenStudy (purple_pink):
ok lemme calculate that
OpenStudy (anonymous):
I would do it but i am not supposed to
OpenStudy (anonymous):
lol i have to go sorry!! :D Bye!
OpenStudy (purple_pink):
ok the answer is x=16.25
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OpenStudy (calculusxy):
Correct!
OpenStudy (calculusxy):
And if you want to check your work what you could do is:
1) 16.25 x 0.08 = ?
? + 16.25 should equal to 17.55
2) 16.25 x 1.08 which should equal to 17.55