Question

thursday 1/15
elena is trying to decide which of two dresses to buy. the first dress has
a retail price of $65 with a 20% markdown. the second dress has a
retail price of $75 with a 25% markdown.

which dress costs less with its markdown?

the first dress\tthe second dress

which dress has a larger markdown value, or discount?

the first dress\tthe second dress

Explanation:

First Sub - Question: Which dress costs less with its markdown?

Step 1: Calculate the price of the first dress after markdown

The markdown percentage is 20%, so the remaining percentage of the price is \(100\% - 20\%=80\% = 0.8\).
The original price of the first dress is $65, so the price after markdown is \(65\times0.8 = 52\) dollars.

Step 2: Calculate the price of the second dress after markdown

The markdown percentage is 25%, so the remaining percentage of the price is \(100\% - 25\% = 75\%=0.75\).
The original price of the second dress is $75, so the price after markdown is \(75\times0.75 = 56.25\) dollars.

Step 3: Compare the two prices

Since \(52<56.25\), the first dress costs less after markdown.

Second Sub - Question: Which dress has a larger markdown value?

Step 1: Calculate the markdown value of the first dress

The markdown percentage is 20% of $65. The markdown value is \(65\times0.2=13\) dollars.

Step 2: Calculate the markdown value of the second dress

The markdown percentage is 25% of $75. The markdown value is \(75\times0.25 = 18.75\) dollars.

Step 3: Compare the two markdown values

Since \(13 < 18.75\), the second dress has a larger markdown value.

Answer:

Which dress costs less with its markdown? The first dress
Which dress has a larger markdown value? The second dress