A store is having a 10%-off sale. It gives an additional 20% off if the item is still above $100 after the first discount. A jacket costs $124.99. Will you get the second discount? You pay for the jacket. If you get the second discount, how many dollars have you saved in total?
Can anyone help with this? like give me an equation
I thought you said you get an additional 20% off if the cost is still over $100 after the first discount.
Well, it is at $112.49, so you do get the 2nd discount.
so after the 2nd discount, the cost is 112.49(.8) = $89.99
The final cost in one calculation would be 124.99(.9)(.8) = 89.99
So how much did you save ??
uh so what's the answer??
The jacket costs 124.99. 10% off is
124.99 - 124.99*(0.10) = 124.99-12.499 = 124.99-12.50 when rounded = 112.49 so you don't get the additional 20%
Thank's DrBob!
Sure, I can help you with that! Let's break it down step by step.
First, let's calculate the amount of the first discount. 10% of $124.99 is $12.50 (10% = 0.1). So, after the first discount, the price of the jacket would be $124.99 - $12.50 = $112.49.
Now, let's see if the jacket qualifies for the second discount. If the price is still above $100 after the first discount, we apply the additional 20% off.
Since $112.49 is still above $100, we can proceed with the second discount. 20% of $112.49 is $22.50 (20% = 0.2). So, the price of the jacket after the second discount would be $112.49 - $22.50 = $89.99.
Now, let's calculate the total amount saved. The original price of the jacket was $124.99, and after the second discount, it is now $89.99. Therefore, the total amount saved is $124.99 - $89.99 = $35.
So, if you qualify for the second discount, you would have saved $35 in total.
To determine if you will receive the second discount and how much you will save in total, we can break it down step by step.
Step 1: Calculate the first discount.
The first discount is 10% off the original price. To calculate this, multiply the original price ($124.99) by 10% (or 0.10):
First discount = $124.99 * 0.10 = $12.499 โ $12.50
Step 2: Calculate the price after the first discount.
To calculate the price after the first discount, subtract the first discount from the original price:
Price after first discount = $124.99 - $12.50 = $112.49
Step 3: Check if the price is still above $100.
In this case, the price after the first discount is $112.49, which is still above $100.
Step 4: Calculate the second discount.
The second discount is an additional 20% off, but only if the price is still above $100. To calculate this discount, multiply the price after the first discount ($112.49) by 20% (or 0.20):
Second discount = $112.49 * 0.20 = $22.498 โ $22.50
Step 5: Calculate the final price.
To calculate the final price after both discounts, subtract the second discount from the price after the first discount:
Final price = Price after first discount - Second discount
Final price = $112.49 - $22.50 = $89.99
Step 6: Calculate the total amount saved.
To calculate the total amount saved, subtract the final price from the original price:
Total amount saved = Original price - Final price
Total amount saved = $124.99 - $89.99 = $35.00
Therefore, if you get the second discount, you would save a total of $35.00.
Equation:
Total amount saved = Original price - (Original price - (Original price * 0.10) - ((Original price - (Original price * 0.10)) * 0.20))