Question

Let x represent the regular price of any book in the store. Write an expression that can be used to find the sale price of any book in the store. Jerome bought a book on sale at the store. The sale price of the book was $8.96. Write an equation to determine the regular price of the book Solve your equation to find the regular price of Jerome's book to the nearest cent.

Answer 1

Answer:

(a) The sale price of any book in the store is 0.70 x.

(b) The regular price of the book bought by Jerome was $12.80.

Step-by-step explanation:

The complete question is:

All books in a store are being discounted by 30%.  Let x represent the regular price of any book in the store. (a) Write an expression that can be used to find the sale price of any book in the store. (b) Jerome bought a book on sale at the store. The sale price of the book was $8.96. Write an equation to determine the regular price of the book Solve your equation to find the regular price of Jerome's book to the nearest cent.

Solution:

The regular price of any book in the store is denoted by, x.

(a)

The discount percentage is: d% = 30%.

The sales price of the book is:

Sales Price = Regular Price - Discount

            $SP =x-(x\times 30\%)$

                  $=x-0.30x\\=0.70x$

Thus, the sale price of any book in the store is 0.70 x.

(b)

The sales price f book bought by Jerome is, SP = $8.96.

Jerome bought the book at the same discount, i.e. 30%.

Compute the regular price of the book bought by Jerome as follows:

$SP =x-(x\times 30\%)$

$8.96=0.70x$

   $x=\frac{8.96}{0.70}$

      $=12.80$

Thus, the regular price of the book bought by Jerome was $12.80.