Verified Answer :
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:
7c-70.75 = 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 = \(\dfrac{\$2.80}{7}\) = $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
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