What percent of 75 is $10 ?
Which of the following choices can be used to solve this problem?
$r=10 \times 75$
$p=10 / 75$
$r=10 / 75$
Answer (1)
The problem asks which expression can be used to find what percent of 75 is 10.
Analyze the equation 75 × 100 p = 10 to represent the problem.
The expression p = 10/75 is part of the calculation.
Multiplying 10/75 by 100 gives the percentage, so the answer is p = 10/75 .
Explanation
Understanding the Problem We want to find what percentage of 75 is 10. Let's call this percentage 'p'. This means we are looking for 'p' such that: 75 × 100 p = 10 We need to determine which of the given choices can be used to solve for 'p'.
Analyzing the Choices Let's analyze the given choices:
r = 10 × 75 : This calculates the product of 10 and 75, which is not related to finding the percentage.
p = 10/75 : This calculates the fraction representing what portion 10 is of 75. To convert this fraction to a percentage, we need to multiply by 100.
r = 10/75 : This is the same as the second option, just with a different variable name. It represents the fraction of 75 that 10 is.
Solving for the Percentage From the equation 75 × 100 p = 10 , we can solve for 'p' by dividing both sides by 75 and then multiplying by 100: 100 p = 75 10 p = 75 10 × 100 So, the expression 75 10 is a part of finding the percentage.
Finding the Percentage The choice p = 10/75 can be used to solve the problem. We would then multiply this result by 100 to get the percentage: p = 75 10 ≈ 0.1333 Percentage = 0.1333 × 100 = 13.33%
Examples
Imagine you have a class of 75 students, and 10 of them got a perfect score on a test. Calculating the percentage helps you understand the proportion of students who excelled. This concept is useful in many real-life situations, such as calculating discounts while shopping, understanding statistics, or determining proportions in recipes.
