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

Respuesta :

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.

The normal price of the cookies is the sum of present price of each

cookies and $0.75.

Response:

  • The equation used to determine the normal price is; x = PP + 0.75
  • The normal price of each cookie is $1.15

Which method is used to write equations?

The price of cookies today = $0.75 less than normal price

The cost of 7 cookies = $2.80

Required:

The normal price of the cookies.

Solution:

The present price of the cookies, PP = [tex]\dfrac{\$2.80}{7}[/tex] = $0.40

Let x represent the normal price of the cookies, we have;

Present price, PP = x - $0.75

x = PP + $0.75

The equation that can be used to determine the normal price is therefore;

  • x = PP + 0.75

(c) PP = $0.40

The normal price is therefore;

x = $0.40 + $0.75 = $1.15

  • The normal price of cookies is $1.15

Learn more about writing equations here:

https://brainly.com/question/7623552