Question

At Park Junior High, 10%, or 160, of the students, play a musical instrument. How many students attend the school?

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 10 Over 100 EndFraction = StartFraction 160 Over question mark EndFraction

Which statements are correct? Check all that apply.
The total number of students is 160.
The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.
The percent as a part-to-whole ratio is StartFraction 160 Over 100 EndFraction
There are 1,600 students in the school.
There are 250 students in the school.

Answer 1

The number of students in the school are represented by percentages

The number of students in the school is 1600

Let the number of students in the school be n.

So, the equation from the question is:

$\mathbf{10\% \times n = 160}$

Divide both sides by 10%

$\mathbf{n = \frac{160}{10\%}}$

Express 10% as decimal (0.10)

$\mathbf{n = \frac{160}{0.10}}$

$\mathbf{n = 1600}$

Hence, the number of students in the school is 1600

The true statements are (d) and (e)

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