Question

A company that makes hair-care products had 4,000 people try a new shampoo. Of 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?

Please help me!!!

Answer 1

0.6%

Explanation:

`(24)/(4000)` = 0.6%

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 4000, so we can write it down as 100%=4000.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=4000

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=4000/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 4000

100%/x%=4000/24

(100/x)*x=(4000/24)*x - we multiply both sides of the equation by x

100=166.666666667*x - we divide both sides of the equation by (166.666666667) to get x

100/166.666666667=x

0.6=x

x=0.6

now we have:

24 is 0.6% of 4000

Answer 2

the answer is 0.6% i think hope this helps