To find the percent of people who had a mild allergic reaction, you can set up the proportion based on the number of people who had reactions compared to the total number of people.
- You already have the number of people who had a mild allergic reaction: 42.
- The total number of people who tried the shampoo is 7,000.
You can calculate the percentage by using the following formula:
\[ \text{Percentage} = \left(\frac{\text{Number of people with reaction}}{\text{Total number of people}} \right) \times 100 \]
Plugging in the numbers:
\[ \text{Percentage} = \left(\frac{42}{7000}\right) \times 100 \]
Now, calculating it step-by-step:
- Divide 42 by 7000:
\[ \frac{42}{7000} = 0.006 \]
- Multiply by 100 to convert to a percentage:
\[ 0.006 \times 100 = 0.6 \]
So, 0.6% of the people had a mild allergic reaction.
Percent Proportion
The proportion you provided can be set up correctly as follows:
\[ \frac{42}{7000} = \frac{p}{100} \]
Then, let's solve for \( p \) (the percentage):
- Cross-multiply:
\[ 42 \times 100 = 7000 \times p \]
This simplifies to:
\[ 4200 = 7000p \]
- Now, divide both sides by 7000:
\[ p = \frac{4200}{7000} \]
- This simplifies to:
\[ p = 0.6 \]
Thus, the percent proportion that you mentioned is correct, leading to the conclusion that 0.6% of the people experienced a mild allergic reaction.