Have you ever come across a math problem that seems to be too difficult to solve? One of those problems is "75 of what number is 15?" This question is commonly asked in math classes and exams, but it can also be used in real-life situations. In this article, we will explain what this problem means and how to solve it. By the end of this article, you will have a better understanding of how to solve similar problems.
What Does "75 of What Number is 15" Mean?
The phrase "75 of what number is 15" can be interpreted in different ways, depending on the context. In general, it means that 75% of a certain number is equal to 15. To put it in mathematical terms, we can use the following equation:
75% * x = 15
where "x" is the unknown number we want to find. The symbol "%" represents "per cent," which means "out of 100." So, 75% can be written as 0.75. Therefore, we can rewrite the equation as:
0.75 * x = 15
Now, our task is to solve for "x." We can do this by dividing both sides of the equation by 0.75:
x = 15 / 0.75
x = 20
Therefore, the answer to the problem "75 of what number is 15" is 20.
How to Solve Similar Problems
The above method can be used to solve similar problems that involve finding a certain percentage of a number. Here's a step-by-step guide on how to solve these types of problems:
Step 1: Identify the Unknown Number
Read the question carefully and identify the unknown number. This will be the number that you need to find. In the case of "75 of what number is 15," the unknown number is "x."
Step 2: Write the Equation
Write down the equation that represents the problem. This equation will involve the unknown number and the given percentage. In the case of "75 of what number is 15," the equation is "0.75 * x = 15."
Step 3: Solve for the Unknown Number
Solve the equation for the unknown number. This involves simplifying the equation and isolating the unknown variable on one side of the equation. In the case of "75 of what number is 15," we divided both sides of the equation by 0.75 to get "x = 20."
Step 4: Check Your Answer
Finally, check your answer by plugging it back into the original equation. This will ensure that your answer is correct. In the case of "75 of what number is 15," we can check our answer by substituting "20" for "x" in the equation "0.75 * x = 15." This gives us:
0.75 * 20 = 15
15 = 15 (True)
Therefore, our answer is correct.
Conclusion
The question "75 of what number is 15" can be solved by using simple algebraic equations. By understanding the steps involved in solving this problem, you can apply the same method to other similar problems. Remember to always read the question carefully, write down the equation, solve for the unknown number, and check your answer. With practice, you'll be able to solve these types of problems in no time!
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