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 777 of them it will only cost you \$2.80$2.80dollar sign, 2, point, 80! Write an equation to determine the normal price of each cookie (c)(c)left parenthesis, c, right parenthesis. Find the normal price of each cookie. \$$dollar sign

Answer 1

Let

x--------> the normal price of each cookie

we know that

$7(x-0.75)=2.80$

Divide by $7$ both sides

$(x-0.75)=0.4$

Add $0.75$ both sides

$x=1.15$

therefore

the answer is

the normal price of each cookie is $$1.15$

Answer 2

The correct answer is:

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

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.