Question

At a clothing store, jackets are on sale for 30% off. Sales tax is 5%. Which expression will calculate the total cost of a jacket with an original price of x?
A.x(0.35)
C.x(0.70)(1.05)
B.x(0.75)
D.x(0.70)(0.05)

Answer 1

Answer: B.x(0.75)

Step-by-step explanation:

If the jacket has a cost of $x$, but has $30\%$ off and we have to add the $5\%$ in tax, we can write all in the following expression:

$x-30\% x+5\%x$

Where:

$x$ is the cost

$30\% x=\frac{30}{100}x=0.3 x$ is the percent off

$5\%x=\frac{5}{100}x=0.05x$ is the tax

Then:

$x-0.3 x+0.05 x=0.75 x$

This can be also rewritten as:

$x(0.75)$

Hence, the correct option is B.