Q41. - Algebra 1

Question

BRACES Two out of five students in the ninth grade have braces. If there are 325 students in the ninth grade, how many have braces?

Step-by-Step Solution

Answer

The number of students having braces is 130.

Step 1. Write down the given statement.

It is given that 2 out of every 5 have students have braces.

Step 1. Write down the given statement.

It is given that 2 out of every 5 have students have braces.

Step 2. By method of proportion.

Let the total number of students having braces be x. Therefore the proportion can be written as:

$$\begin{gathered} \frac{2}{5}=\frac{x}{325} \\ 5\left(x\right)=2\left(325\right) \\ 5x=650 \\ \frac{5x}{5}=\frac{650}{5} \\ x=130\text{\hspace{0.17em}students} \end{gathered}$$

Step 3. The conclusion from the number of students having braces.

The number of students having braces are $x=130\text{\hspace{0.17em}students}$.