A company that makes​ hair-care products had 6 comma 000 people try a new shampoo. Of the 6 comma 000 ​people, 48 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Question

Question content area bottom
Part 1
Write the percent proportion.
StartFraction 48 Over 6 comma 000 EndFraction
equalsStartFraction p Over 100 EndFraction
  
Part 2
Solve.
percentequals
  
enter your response here​%
​(Type an integer or a​ decimal.)
What percent of the people had a mild allergic reaction?percent(Type an integer or a decimal.)What percent of the people had a mild allergic reaction?percent(Type an integer or a decimal.)

Answer 1

To find the percent of people who had a mild allergic reaction, we first set up the percent proportion based on the information given.

Part 1: Write the Percent Proportion

The proportion is set up as follows:

\[ \frac{48}{6000} = \frac{p}{100} \]

Part 2: Solve

To solve for \( p \), we cross-multiply:

\[ 48 \times 100 = 6000 \times p \]

\[ 4800 = 6000p \]

Now, divide both sides by 6000 to isolate \( p \):

\[ p = \frac{4800}{6000} \]

Calculating this gives:

\[ p = 0.8 \]

To express this as a percentage, multiply by 100:

\[ p = 0.8 \times 100 = 80 \]

Thus, the percent of the people who had a mild allergic reaction is:

\[ \text{percent} = 0.8 % \]

So, the answer is:

0.8%