Question

Mitch bought five books for
$
68.75
.
Four of the books were sports books and cost the same price. The other book was a novel and cost
$
7
less than each of the sports books.

How much did each sports book cost?

Responses

$
18.94
18 point 9 4 dollars

$
7.00
7 point 0 0 dollars

$
61.75
61 point 7 5 dollars

$
15.15

Answer 1

Let the cost of each sports book be \( x \). Since Mitch bought four sports books, the total cost for the sports books would be \( 4x \).

The novel costs \( x - 7 \) (as it costs $7 less than each sports book).

So, the total cost of all five books can be expressed as:

\[
4x + (x - 7) = 68.75
\]

This simplifies to:

\[
4x + x - 7 = 68.75
\]

\[
5x - 7 = 68.75
\]

Now, add 7 to both sides:

\[
5x = 68.75 + 7
\]

\[
5x = 75.75
\]

Now, divide by 5:

\[
x = \frac{75.75}{5}
\]

\[
x = 15.15
\]

Thus, the cost of each sports book is **$15.15**.