Question

5. Thad conducted a survey on hair color

at his school. His results were 23
students had blonde hair, 38 students
had black hair, 7 students had red hair.
and 19 students had brown hair. If he
sampled 1 out of every 10 students at
his school, how many people attend
the school?
A 900 people
B 870 people
C 820 people
D750 people

Answer 1

870 people attend the school.

Explanation:

Given:

Thad conducted a survey on hair color at his school.

His results were:

23 students had blonde hair, 38 students had black hair, 7 students had red hair and 19 students had brown hair.

Now, to find number of people attended school if he had sampled 1 out of every 10 students.

So, we add the total number of students who had been surveyed on hair color:

`23+38+7+19=87\ students.`

Then, we get the percentage of the sample of 1 out of 10 students:

`(1)/(10) * 100=(100)/(10) =10\%.`

Thus, we get that 10% of students surveyed from the total who attend the school.

Now, to get the number of people who attend school we set an equation:

Let the people attend the school be
`x`.

So,
`10\%\ of\ x=87.`

⇒
`(10)/(100) * x=87`

⇒
`(10x)/(100) =87`

Multiplying both sides by 100 we get:

⇒
`10x=8700`

Dividing both sides by 10 we get:

⇒
`x=870.`

Therefore, 870 people attend the school.