Question

Nayan Patel purchases a compact vehicle with an MSRP of $17,980.00, including the destination charge and title fee. He selects a 4-way power front passenger seat, which costs 8 times the amount of remote keyless entry. The total cost of the compact vehicle, including a 7.2% sales tax, is $20,000.00. Find the cost of the remote keyless entry.
A $676.71
B $150.38
C $601.53
D $75.19

Answer 1

Answer:

$601.53

Step-by-step explanation:

just do what the person did but all they forgot to do was to multiple for the "8 times" so take 75.19*8 to get 601.53.

Answer 2

Answer:

$75.19

Step-by-step explanation:

Let 'x' be the cost of remote keyless entry.

And $8x$ be the cost of 4-way power front passenger seat.

Total cost = destination charge + title fee + taxes

So we have the equation:

$20,000 = (17,980+x+8x)+0.072(17,980+x+8x)$

Now solving for 'x', we get:

$20,000 = (17,980+9x)+0.072(17,980+9x)$

$20,000=17,980+9x+1294.56+0.648x$

$20,000=19274.56+9.648x$

$725.44=9.648x$

$x=\frac{725.44}{9.648} =75.19$

Therefore, the cost of remote keyless entry is $75.19.