Cookies are on sale! Today each cookie costs
\[\$0.75\] less than the normal price. Right now if you buy
\[7\] of them it will only cost you
\[\$2.80\]!
Write an equation to determine the normal price of each cookie
\[(c)\].
Find the normal price of each cookie.
Let the normal price of each cookie be \(c\).
According to the problem, each cookie is on sale for \(\$0.75\) less than the normal price. Thus, the sale price of each cookie is \(c - \$0.75\).
If you buy \(7\) cookies, the total cost would be \(\$2.80\). This can be represented with the equation:
\[7(c - \$0.75) = \$2.80\]
Now, let's solve the equation to find the normal price of each cookie.
Expanding the equation, we get:
\[7c - 7(\$0.75) = \$2.80\]
Simplifying, we have:
\[7c - \$5.25 = \$2.80\]
Next, we isolate \(c\) by moving the constant term to the other side of the equation:
\[7c = \$2.80 + \$5.25\]
Combining like terms, we have:
\[7c = \$8.05\]
Finally, solve for \(c\) by dividing both sides of the equation by \(7\):
\[c = \frac{\$8.05}{7}\]
Thus, the normal price of each cookie is approximately \(\$1.15\).