Question

Heidi bought 5 books for $52.78. Four of the books were cook

books and cost the same price. The other book was a novel and
cost $5 less than each of the cook books. How much did each
cook book cost?

$11.56

$11.94

$47.78

$9.55

Answer 1

$11.56

Explanation:

Let x = price of 1 cookbook.

Let y = price of 1 novel.

The total is

4x + y = 52.80

The novel cost $5 less than each cookbook.

y = x - 5

We have a system of equations.

4x + y = 52.80

y = x - 5

Substitute x - 5 for y in the first equation and solve for x.

4x + x - 5 = 52.80

5x = 57.80

x = 11.56

Answer: $11.56