Hey there, SAT Math Wizards! 📊🌟
Today, we're going to dig deep into one of the most essential math concepts that frequently appears on the SAT: percentages. Don't worry; I'll explain this in a way that makes it crystal clear. We'll also tackle three multiple-choice exercises with detailed explanations. By the end of this, you'll be a percentage pro!
Percentage Basics: Exercise 1
Let's start with the basics. What is 25% of 80?
Explanation: When we want to find a percentage of a number, we simply multiply the number by that percentage as a decimal. So, to find 25% of 80, we multiply 80 by 0.25 (25% as a decimal), which equals 20. So, the correct answer is A, 20.
Percentage Discounts: Exercise 2
Imagine you want to buy a shirt that originally costs $40, but it's on sale for 20% off. What is the sale price?
Explanation: To calculate the sale price after a percentage discount, you subtract the discount amount from the original price. In this case, the discount is 20% of $40, which is $8. So, the sale price is $40 - $8, which equals C, $32.
Percentage Increase: Exercise 3
Now, let's say your savings have grown from $200 to $240. What is the percentage increase?
Explanation: To find the percentage increase, you need to calculate the difference between the new amount and the original amount. In this case, it's $240 - $200, which equals $40. Then, divide this increase ($40) by the original amount ($200) and multiply by 100 to express it as a percentage. This calculation gives you C, 20%.
Understanding percentages is a fundamental math skill that comes in handy on the SAT and in real life. You'll encounter percentage questions in various forms, from discounts and increases to more complex problem-solving scenarios.
So, keep practicing your percentage calculations, and you'll be well-prepared for any math problem involving percentages on the SAT. You've got this!
Happy math-solving, SAT superstars! 📚🧮🌟