Two stores carry a similar stereo for the same original price of $573. One store offers a 16% discount and the second store sells the stereo for $458.40. Which store gives the bigger percent discount? Justify your answer.
I have...no clue how to do this. I tried to do it on my own but it didn't make any sense. Help!!
100 - 16 = 84
0.84 * 573 = $_______
481.32 . . . so 458.40 is a better deal! Is that right?
Right!
Sure! Let's break down the problem step by step to find the answer.
Step 1: Calculate the discount at the first store.
To find the discount at the first store, we need to take 16% off the original price of $573. To do this, we multiply the original price by 0.16 (16% expressed as a decimal):
Discount at the first store = $573 * 0.16 = $91.68
Step 2: Calculate the sale price at the first store.
The sale price at the first store is the original price minus the discount. So we subtract the discount we calculated in Step 1 from the original price:
Sale price at the first store = $573 - $91.68 = $481.32
Step 3: Compare the sale price at the first store with the price at the second store.
We need to determine which price, $481.32 or $458.40, is smaller. Since the second store sells the stereo for $458.40, the sale price at the first store is higher.
Step 4: Calculate the percentage discount at the second store.
To find the percentage discount at the second store, we need to calculate how much discount was applied to the original price. We can subtract the sale price at the second store from the original price and then express the result as a percentage of the original price:
Discount at the second store = $573 - $458.40 = $114.60
Percentage discount at the second store = ($114.60 / $573) * 100% ≈ 20%
Step 5: Compare the percentage discounts.
Now we know that the percentage discount at the second store is approximately 20% (Step 4) and the discount at the first store is 16% (Step 1). Since 20% is greater than 16%, we can conclude that the second store offers a bigger percentage discount.
Therefore, the second store gives the bigger percent discount, approximately 20%.
Hm, are you sure, What I learned the answer is
573-458.4 divided by 573 = 0.2 or 20 %.
20% of 458.40 is 91.68, the second store is cheaper.