Elizabeth had a book delivered to her home. The total cost included the price of the book, 7% sales tax on the price of the book, and a $4.50 shipping charge. Elizabeth paid a total of $31.25.
What was the pre-tax price of the book?
$
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OpenStudy (faiqraees):
okay first calculate the value she had to pay only for the book and the tax
OpenStudy (anonymous):
26.75$
OpenStudy (faiqraees):
okay 26.75 is the value of the book and the 7% of the books cost. Agreed?
OpenStudy (anonymous):
yes.
OpenStudy (faiqraees):
We can form an equation
\[x+ (0.07x)=26.75\]
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OpenStudy (faiqraees):
7% =7/100 =0.07
Clear so far?
OpenStudy (anonymous):
yes.
OpenStudy (faiqraees):
solve for x
Can you do it?
OpenStudy (anonymous):
I think it's 1.87.
OpenStudy (faiqraees):
no..
x+0.07x=26.75
1x+0.07x=26.75
1.07x=26.75
so whats the value of x now
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OpenStudy (anonymous):
3.82?
OpenStudy (faiqraees):
divide 1.07 on both sides
1.07 26.75
-----x = -----
1.07 1.07
x= 26.75
-------
1.07