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

Question

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 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

To solve for the total number of students at Park Junior High, we can set up the equation based on the given information.

We know that 10% of the students play a musical instrument, which corresponds to 160 students.

We can use the formula for percentage:

\[ \text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100 \]

In this case, we can rewrite the equation as:

\[ 10 = \frac{160}{\text{Whole}} \times 100 \]

To find the "Whole," we can rearrange this to solve for it:

\[ \text{Whole} = \frac{160}{0.10} = 1600 \]

So, the total number of students attending the school is 1,600.

Now we can evaluate the statements:

1. The total number of students is < 160. - False
2. The total number of students is > 160. - True
3. The percent as a part-to-whole ratio is \(\frac{10}{100}\). - True
4. The percent as a part-to-whole ratio is \(\frac{160}{100}\). - False (This ratio does not represent the percentage correctly.)
5. There are 1,600 students in the school. - True
6. There are 250 students in the school. - False

In summary, the correct statements are:

• The total number of students is > 160.
• The percent as a part-to-whole ratio is \(\frac{10}{100}\).
• There are 1,600 students in the school.