A department store purchases a dress for $50. To sell the dress to customers, the price is marked up by 15%. You hand the clerk $70. How much change will you get back?

50 * 1.15 = 57.50

70.00 - 57.50 = ?

To determine the change you will get back, we need to find the selling price of the dress and subtract the amount you paid with. Here are the steps to calculate it:

Step 1: Calculate the markup amount:
The markup amount is equal to 15% of the original purchase price. To calculate this, multiply the purchase price by the markup percentage:
Markup amount = $50 * 0.15 = $7.50

Step 2: Calculate the selling price:
The selling price is the sum of the purchase price and the markup amount:
Selling price = Purchase price + Markup amount
Selling price = $50 + $7.50 = $57.50

Step 3: Calculate the change:
To calculate the change, subtract the amount you paid from the selling price:
Change = Amount paid - Selling price
Change = $70 - $57.50 = $12.50

Therefore, you will get $12.50 in change.