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Answer :
To solve the problem "60% of what number is 45?", we can use a proportion to set up an equation. Here's how to do it step-by-step:
1. Understand the problem: We are given that 60% of a number is equal to 45. We need to find what that number is.
2. Translate the percentage to a fraction: Remember that 60% means 60 out of 100, which can be written as the fraction [tex]\(\frac{60}{100}\)[/tex].
3. Set up the proportion: We want to find the number, let's call it [tex]\(x\)[/tex], such that 60% of [tex]\(x\)[/tex] is 45. This can be expressed as the equation:
[tex]\[
\frac{60}{100} = \frac{45}{x}
\][/tex]
4. Find the proportion in the options: We need to match this setup with one of the given answer choices. The option that matches this setup is:
[tex]\[
\text{A. } \frac{60}{100} = \frac{45}{x}
\][/tex]
This proportion correctly represents the problem statement and is the correct choice to solve for the unknown number.
1. Understand the problem: We are given that 60% of a number is equal to 45. We need to find what that number is.
2. Translate the percentage to a fraction: Remember that 60% means 60 out of 100, which can be written as the fraction [tex]\(\frac{60}{100}\)[/tex].
3. Set up the proportion: We want to find the number, let's call it [tex]\(x\)[/tex], such that 60% of [tex]\(x\)[/tex] is 45. This can be expressed as the equation:
[tex]\[
\frac{60}{100} = \frac{45}{x}
\][/tex]
4. Find the proportion in the options: We need to match this setup with one of the given answer choices. The option that matches this setup is:
[tex]\[
\text{A. } \frac{60}{100} = \frac{45}{x}
\][/tex]
This proportion correctly represents the problem statement and is the correct choice to solve for the unknown number.
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