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

Answer:

870 people attend the school.

Step-by-step 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:

$\frac{1}{10} \times 100=\frac{100}{10} =10\%.$

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,  $10\%\ of\ x=87.$

⇒  $\frac{10}{100} \times x=87$

⇒  $\frac{10x}{100} =87$

Multiplying both sides by 100 we get:

⇒  $10x=8700$

Dividing both sides by 10 we get:

⇒  $x=870.$

Therefore, 870 people attend the school.