Understanding Total Percentage Savings through Successive Discounts

What is the total percentage savings on an appliance originally priced at $150 after a 15% and then a 20% discount?

• A. 30%
• B. 32%
• C. 35%
• D. 38%

Answer: (B)

To determine the total percentage savings on the appliance after applying two successive discounts of 15% and 20%, it's necessary to calculate the final price after each discount step by step. First, start with the original price of $150. The first discount of 15% is applied to this original price. To find this discount, calculate 15% of $150: 15% of $150 = 0.15 * 150 = $22.50. Now, subtract this discount from the original price to find the new price after the first discount: $150 - $22.50 = $127.50. Next, apply the second discount of 20%. This discount is now based on the reduced price of $127.50. Calculate 20% of $127.50: 20% of $127.50 = 0.20 * 127.50 = $25.50. Subtract this second discount from the price after the first discount: $127.50 - $25.50 = $102.00. Now, to find the total savings, we need to subtract the final price from the original price: Total savings = Original price - Final price = $150 - $102.00 = $48.

When you’re on the hunt for a good deal, understanding how discounts stack up can save you a pretty penny. Remember that feeling when you spot an appliance on sale? It's a mini victory! Now, let’s explore how to calculate total savings using discounts—through a fun, practical example.

Imagine you’re eyeing a shiny new appliance tagged at $150. It’s not just any appliance; it can make your mornings brighter with a steaming cup of coffee. But wait! You hear about a 15% discount. Exciting, right? But before you rush to grab that price tag, let’s break down the numbers together.

First, we’re going to calculate that 15% discount. The math here is pretty simple but crucial. To find 15% of $150, you multiply:

15% of $150 = 0.15 * 150 = $22.50.

This amount—$22.50—is what you’ll save initially. Now, let's subtract that from the original price:

$150 - $22.50 = $127.50.

You’ve got yourself a new price of $127.50 after the first discount—and guess what? That’s already a step towards saving!

But don’t pack it away just yet, because there’s more! Next, you’re greeted with an additional 20% off that already discounted price of $127.50. It’s like finding an extra scoop of ice cream after just finishing your cone. To find 20% of $127.50, here’s what you do:

20% of $127.50 = 0.20 * 127.50 = $25.50.

So, what do you do with that number? You guessed it! Subtract it from your latest price:

$127.50 - $25.50 = $102.00.

Now, time for the big reveal: how much did you actually save in total? Think back to your original price of $150. The total savings you achieved can be calculated like this:

Total savings = Original price - Final price = $150 - $102.00 = $48.

So how does that translate to percentage savings? To find the total percentage savings, you'll want to divide your total savings by the original price and multiply by 100:

Total percentage savings = (Total savings / Original price) * 100 = ($48 / $150) * 100 = 32%.

And there you have it! With those two discounts combined, you’ve saved a cool 32%.

So, why does this matter for you—especially if you’re prepping for the MEGA Elementary Education Multi-Content Test? Understanding how to calculate total percentage savings isn’t just useful for shopping. It’s a critical skill that fosters students' financial literacy. It empowers them to make savvy spending decisions in life, something we all strive for, right?

Feel inspired to teach these skills? Take a moment to think about how valuable it is for children, already steeped in consumer culture, to grasp these concepts. And while you're at it, maybe think about fun ways to introduce these calculations in your classroom. Is there a project? A game? The possibilities are endless.

Now, whether you’re a student studying for the MEGA exam or an educator preparing your lessons, remember that math in real life doesn’t have to feel intimidating. It can be just as simple as figuring out how much you’re actually saving when those discounts come pouring in. So, embrace the numbers—and who knows? You might just find a new appreciation for calculating those savings!