Question

a company that makes hair - care products had 7,000 people try a new shampoo. of the 7,000 people, 49 had a mild allergic reaction. what percent of the people had a mild allergic reaction?

write the percent proportion
$\frac{49}{7,000}=\frac{p}{100}$

solve
percent = \boxed{}%
(type an integer or a decimal)

Explanation:

Step1: Cross - multiply the proportion

We have the proportion \(\frac{49}{7000}=\frac{p}{100}\). Cross - multiplying gives us \(7000p = 49\times100\).

Step2: Simplify the right - hand side

Calculate \(49\times100 = 4900\), so the equation becomes \(7000p=4900\).

Step3: Solve for \(p\)

Divide both sides of the equation by 7000: \(p=\frac{4900}{7000}\). Simplify the fraction \(\frac{4900}{7000}\) by dividing both the numerator and the denominator by 7000 and 4900's greatest common divisor, which is 700. \(\frac{4900\div700}{7000\div700}=\frac{7}{10} = 0.7\).

Answer:

\(0.7\)