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Question

Part 1
A company that makes​ hair-care products had 5 comma 000 people try a new shampoo. Of the 5 comma 000 ​people, 35 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?
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Part 1
Write the percent proportion.
StartFraction 35 Over 5 comma 000 EndFraction
equalsStartFraction p Over 100 EndFraction
  
Part 2
Solve.
percentequals
  
enter your response here​%
​(Type an integer or a​ decimal.)

Answer 1

To find the percent of people who had a mild allergic reaction, we can use the percent proportion you've described.

Part 1: Write the Percent Proportion

The percent proportion is formulated as:

\[ \frac{35}{5000} = \frac{p}{100} \]

Part 2: Solve for \( p \)

Now we can solve for \( p \) (the percentage of people who had a mild allergic reaction):

1. Cross-multiply to find \( p \): \[ 35 \times 100 = 5000 \times p \] \[ 3500 = 5000p \]

2. Next, solve for \( p \): \[ p = \frac{3500}{5000} \]

   \[ p = 0.7 \]

3. Finally, convert \( p \) into a percentage by multiplying by 100: \[ p = 0.7 \times 100 = 70% \]

Final Answer

The percent of people who had a mild allergic reaction is 0.7%.