Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a company that makes haircare products had 2,000 people try a new shamp…

Question

a company that makes haircare products had 2,000 people try a new shampoo. of the 2,000 pe
complete the percent proportion.
\\(\frac{14}{2,000} = \frac{p}{100}\\)
(type an integer or a decimal.)
\\(\square\\)% of the people had a mild allergic reaction.
(type an integer or a decimal.)

Explanation:

Step1: Cross - multiply the proportion

We have the proportion $\frac{14}{2000}=\frac{p}{100}$. Cross - multiplying gives us $2000\times p = 14\times100$.

Step2: Solve for p

First, calculate the right - hand side: $14\times100 = 1400$. Then, we have the equation $2000p=1400$. To solve for $p$, divide both sides of the equation by 2000: $p=\frac{1400}{2000}$. Simplifying this fraction, we can divide both the numerator and the denominator by 200: $p = \frac{7}{10}=0.7$.

Answer:

0.7