Question

Cookies are on sale! Today each cookie costs

$
0.75
$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you buy
7
77 of them it will only cost you
$
2.80
$2.80dollar sign, 2, point, 80!
Write an equation to determine the normal price of each cookie
(c)
(c)left parenthesis, c, right parenthesis.

Answer 1

The correct answer is:

The equation is
`7(c-0.75) = 2.80`, and the regular price of a cookie is
`c =\$1.15`.

Step-by-step explanation:

c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression
`c-0.75`.

We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression,
`c-0.75`, by 7 and set it equal to $2.80:

`7(c-0.75) = 2.80`

To solve, first use the distributive property:

`7 * c-7*0.75 = 2.80`

`7c-5.25 = 2.80`

Add 5.25 to each side:

`7c-5.25+5.25 = 2.80+5.25`

`7c = 8.05`

Divide each side by 7:

`7c/7 = 8.05/7`

`c = \$1.15`.