90 is 60% of what number
The Correct Answer and Explanation is:
Correct Answer:
90 is 60% of 150.
Explanation
To solve the problem “90 is 60% of what number?”, we start by understanding what percentages mean. A percentage is a way of expressing a number as a fraction of 100. So, 60% means 60 out of 100, or mathematically, 60% = 60/100 = 0.60.
Now, let’s translate the question into a mathematical equation. When we say “90 is 60% of what number?”, we are looking for the original number, which we can call X, such that: 0.60×X=900.60 \times X = 90
To isolate X, divide both sides of the equation by 0.60: X=900.60X = \frac{90}{0.60}
Now, divide: X=150X = 150
So, 90 is 60% of 150.
Why This Works:
When you are given a percentage and a portion of a number (like 90), you’re essentially working backward to find the whole. If 60% of some number is 90, then dividing 90 by 60% gives the original number. This is a common technique in solving problems involving percentages.
Another way to think about it: if 10% of a number is 15, then 60% (which is six times 10%) would be 6 × 15 = 90. This approach uses proportional reasoning and estimation.
Real-World Example:
Imagine you got a 60% discount on a jacket and paid $90. To find the original price of the jacket, you’d divide $90 by 0.60 and discover the original price was $150.
Understanding percentages helps in shopping, budgeting, statistics, and many real-life decisions, making this a practical skill beyond the classroom.
