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

Answer :

To determine which equation can be used to find how much Sweet Sue's normally charges for a cupcake, we need to break down the problem:

1. Understand the Scenario:
- Principal Jordan ordered 65 cupcakes.
- There was a bulk order discount of [tex]$0.50 per cupcake.
- He paid a total of $[/tex]195 for the cupcakes.

2. Define the Variables:
- Let [tex]\( c \)[/tex] represent the normal price of one cupcake.
- Since each cupcake was discounted by $0.50, the reduced price per cupcake becomes [tex]\( c - 0.50 \)[/tex].

3. Set Up the Equation:
- The total cost for the 65 cupcakes at the discounted price can be expressed as the number of cupcakes multiplied by the discounted price per cupcake:
[tex]\[
65 \times (c - 0.50) = 195
\][/tex]

4. Choose the Correct Equation:
- The equation that matches our setup and describes the total cost considering the discount is:
[tex]\[
65(c-0.50) = 195
\][/tex]

This equation enables us to find the normal charge per cupcake before the discount was applied.