Question

Sheila buys two concert tickets from her friend.
She pays $90 for the two tickets. She looks at the
tickets and sees that each ticket has a face value
of $52.50.
a. How much of a markdown did her friend give
Sheila? Explain how you know.
b. What was the percent markdown, rounded to
the nearest whole percent

Answer 1

Let's analyze the information given:

- Sheila pays $90 for two tickets.
- Each ticket has a face value of $52.50.

### a. Markdown Calculation

First, we can find out the total face value of both tickets:

\[
\text{Total Face Value} = 2 \times 52.50 = 105
\]

Now, we can determine the markdown (the amount reduced from the original price):

\[
\text{Markdown} = \text{Total Face Value} - \text{Amount Paid}
\]
\[
\text{Markdown} = 105 - 90 = 15
\]

So, Sheila's friend gave her a markdown of **$15**.

### b. Percent Markdown Calculation

To find the percent markdown, we use the formula:

\[
\text{Percent Markdown} = \left( \frac{\text{Markdown}}{\text{Total Face Value}} \right) \times 100
\]

Now, we substitute in the values:

\[
\text{Percent Markdown} = \left( \frac{15}{105} \right) \times 100
\]
\[
\text{Percent Markdown} = 0.142857 \times 100 \approx 14.29
\]

Rounding to the nearest whole percent gives us **14%**.

### Summary:
a. The markdown Sheila received was **$15**.
b. The percent markdown, rounded to the nearest whole percent, is **14%**.