A store advertises 25% off a $32 shirt. What is the sale price
视频信息
答案文本
视频字幕
A store advertises 25% off a 32 dollar shirt. What is the sale price? Let's break this down. We have a shirt that originally costs 32 dollars, and there's a 25 percent discount on it. This means the customer will pay less than the original price. Our goal is to find the final sale price after applying the discount.
To work with percentages mathematically, we need to convert them to decimals. The percentage 25 percent means 25 out of 100. We can write this as a fraction: 25 over 100. To convert this fraction to a decimal, we divide 25 by 100, which gives us 0.25. This decimal form is what we'll use in our calculations.
Now we calculate how much money is being taken off the original price. We multiply the original price by the decimal form of the percentage. So we have 32 dollars times 0.25. When we do this multiplication, we get 8 dollars. This 8 dollars represents the amount of money being taken off, not the final price. The customer saves 8 dollars with this discount.
To find the final price, we subtract the discount from the original price. We take the original 32 dollars and subtract the 8 dollars discount. This gives us 24 dollars. This is the sale price - the amount the customer actually pays for the shirt after the discount has been applied.
There's another way to think about this problem. If 25 percent is taken off, what percent remains? We subtract 25 percent from 100 percent to get 75 percent. This means the customer pays 75 percent of the original price. We convert 75 percent to its decimal form, which is 0.75. Then we multiply the original price by this decimal: 32 dollars times 0.75 equals 24 dollars. This gives us the same sale price as our previous method, confirming our answer is correct.
Let's try a few more examples to solidify our understanding of percentage discounts. First example: 15 percent off 40 dollars. We convert 15 percent to 0.15, then multiply 40 by 0.15 to get 6 dollars discount. Subtracting 6 from 40 gives us a sale price of 34 dollars. Second example: 30 percent off 50 dollars. We convert 30 percent to 0.30, then multiply 50 by 0.30 to get 15 dollars discount. Subtracting 15 from 50 gives us a sale price of 35 dollars. These examples show the consistent pattern in percentage discount problems.