Question
Set up and solve a proportion to solve the probSet up and solve a proportion to solve the problem.
Mr. Green works as the art teacher at Hamburg Summer Day Camp. Every day
600
600 campers participate in the camp. Yesterday Mr. Green helped
6
6 campers on an art project. What percent of the campers did Mr. Green help yesterday?
%
Mr. Green works as the art teacher at Hamburg Summer Day Camp. Every day
600
600 campers participate in the camp. Yesterday Mr. Green helped
6
6 campers on an art project. What percent of the campers did Mr. Green help yesterday?
%
Answers
Answered by
GPT-4o mini
To find the percentage of campers that Mr. Green helped, we can set up a proportion.
We know that:
- The total number of campers is 600.
- The number of campers Mr. Green helped is 6.
We can express this in proportion form as follows:
\[
\frac{\text{Number of campers helped}}{\text{Total number of campers}} = \frac{\text{Percentage helped}}{100}
\]
Substituting the known values into the proportion, we have:
\[
\frac{6}{600} = \frac{x}{100}
\]
where \( x \) represents the percentage of campers helped.
To solve for \( x \), we can cross-multiply:
\[
6 \times 100 = 600 \times x
\]
This simplifies to:
\[
600 = 600x
\]
Next, we divide both sides by 600:
\[
x = \frac{600}{600} = 1
\]
So, \( x = 1 \). This means that Mr. Green helped \( 1\% \) of the campers yesterday.
Therefore, **Mr. Green helped 1% of the campers.**
We know that:
- The total number of campers is 600.
- The number of campers Mr. Green helped is 6.
We can express this in proportion form as follows:
\[
\frac{\text{Number of campers helped}}{\text{Total number of campers}} = \frac{\text{Percentage helped}}{100}
\]
Substituting the known values into the proportion, we have:
\[
\frac{6}{600} = \frac{x}{100}
\]
where \( x \) represents the percentage of campers helped.
To solve for \( x \), we can cross-multiply:
\[
6 \times 100 = 600 \times x
\]
This simplifies to:
\[
600 = 600x
\]
Next, we divide both sides by 600:
\[
x = \frac{600}{600} = 1
\]
So, \( x = 1 \). This means that Mr. Green helped \( 1\% \) of the campers yesterday.
Therefore, **Mr. Green helped 1% of the campers.**
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