Emily has a coupon for 20% off her purchase. She finds a backpack on the discount rack. It's original price is $60 but is 30% off.
Emily thinks 30% and 20 % make 50% so the backpack will be $30.
Is Emily correct? Explain your answer.
0.7 * 60 = 42
0.8 * 42 = $33.60
Hello my name's Jacob. It should be 42.32
No, Emily's calculation is incorrect. To find the final price of the backpack, we need to apply both discounts separately.
First, let's calculate the discount on the backpack's original price of $60. The backpack is marked down by 30%, so we can find the discount amount by multiplying its original price ($60) by 30% (or 0.30):
Discount = $60 x 0.30 = $18
This means Emily gets a discount of $18 on the backpack. Now, let's calculate the price after this discount:
Price after discount = Original price - Discount = $60 - $18 = $42
So, after the 30% discount, the price of the backpack is $42.
Next, Emily wants to apply her coupon for an additional 20% off the discounted price. Let's calculate the discount amount using the new price of $42:
Discount = $42 x 0.20 = $8.40
Now, let's find the final price of the backpack after applying both discounts:
Price after second discount = Price after first discount - Discount = $42 - $8.40 = $33.60
Therefore, the correct price of the backpack after both discounts is $33.60, not $30 as Emily thought.
To avoid confusion, it's important to apply each discount separately and calculate the final price correctly.