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There are 180 students at Oaktown Middle School who play instruments. This is
60% of the total number of students.
(a) Draw a double number line that can be used to find the total number of students at the school.
(b) What is the total number of students at the school?

◻ students

There are $180$ students at Oaktown Middle School who play instruments. This is $60 \%$ of the total number of students. $\newline$ (a) Draw a double number line that can be used to find the total number of students at the school. $\newline$ (b) What is the total number of students at the school? $\newline$ $\square$ students

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Write linear functions: word problems

Full solution

Q. There are

180

students at Oaktown Middle School who play instruments. This is

60 \%

of the total number of students.

\newline

(a) Draw a double number line that can be used to find the total number of students at the school.

\newline

(b) What is the total number of students at the school?

\newline

\square

students

Draw double number line: (a) To draw a double number line, we mark one line with percentages and the other with the number of students. We know that $60\%$ corresponds to $180$ students, so we can mark these on our lines.
Find total number: (b) To find the total number of students, we use the proportion: $\newline$ $60\% = 180$ students $\newline$ $100\% =$ Total number of students $\newline$ Let's call the total number of students ' $T$ '. We can set up the equation: $\newline$ $\frac{60}{100} = \frac{180}{T}$
Solve for total: Now we solve for 'T': $\newline$ $60T = 180 \times 100$ $\newline$ $T = (180 \times 100) / 60$ $\newline$ $T = 18000 / 60$ $\newline$ $T = 300$

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