Principal Jordan ordered 65 cupcakes from Sweet Sue's Bakery for his monthly honor roll party. Since this was a bulk order, Sweet Sue's reduced the price of each cupcake by [tex]\$0.50[/tex]. Principal Jordan paid [tex]\$195[/tex] in total.

Which equation can you use to find [tex]c[/tex], the amount Sweet Sue's normally charges for a cupcake?

A. [tex]0.50(c-65)=195[/tex]
B. [tex]65(c-0.50)=195[/tex]
C. [tex]0.50c-65=195[/tex]
D. [tex]65c-0.50=195[/tex]

Let [tex]$c$[/tex] be the normal price of a cupcake in dollars. Since each cupcake is reduced by \[tex]$0.50, the reduced price per cupcake is given by $[/tex]c - 0.50[tex]$. Principal Jordan ordered 65 cupcakes and paid a total of \$[/tex]195. This situation is modeled by the equation

[tex]$$
65(c - 0.50) = 195.
$$[/tex]

This corresponds to the second choice.

Now, solving the equation for [tex]$c$[/tex]:

1. Divide both sides by 65:
[tex]$$
c - 0.50 = \frac{195}{65} = 3.
$$[/tex]

2. Add 0.50 to both sides:
[tex]$$
c = 3 + 0.50 = 3.50.
$$[/tex]

Thus, the normal price of a cupcake is \[tex]$3.50 and the correct equation is

$[/tex][tex]$
65(c - 0.50) = 195.
$[/tex]$