College

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]\$0.5[/tex]. Principal Jordan paid [tex]\$195[/tex] in all.

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

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

Answer :

Sure! Let's figure out the correct equation to find out how much Sweet Sue's normally charges for a cupcake.

Principal Jordan ordered 65 cupcakes and got a bulk order discount, where the price of each cupcake was reduced by [tex]$0.50. He paid a total of $[/tex]195 for all the cupcakes.

To find the regular price of one cupcake, we'll set up an equation using the information provided:

1. Let [tex]\( c \)[/tex] be the normal price per cupcake before any discounts.

2. The price Principal Jordan paid per cupcake after the discount would be:
[tex]\( c - 0.5 \)[/tex]. (Since each cupcake costs $0.50 less than its normal price)

3. Multiply the discounted price by the total number of cupcakes to find the total amount paid:
[tex]\( (c - 0.5) \times 65 = 195 \)[/tex].

So the equation that represents the situation is:
[tex]\[ 65 \times (c - 0.5) = 195 \][/tex]

This equation allows you to find the value of [tex]\( c \)[/tex], which is the normal price of a cupcake before the discount was applied.