Q68. - Algebra 1

Question

An electronic store sells a certain digital camera for $126. This is $\frac{2}{3}$ of the price that a photography store charges. What is the cost of the camera at the photography store?

Step-by-Step Solution

Answer

The cost of the camera is $189.

Step 1. Given information.

The cost of the camera at the electronics store is $126.

The price at an electronics store is 2/3rd of the price at a photography store.

Step 2. Introduce the variable.

Consider the cost of the camera at the photography store is $x.

Step 3. Write the equation.

Since $126 is equal to $\frac{2}{3}$ of the price of the camera.

Therefore,

$$\begin{gathered} \frac{2}{3}\times x=126 \\ \frac{2}{3}x=126 \end{gathered}$$

Step 4. Solve the equation.

Take the equation $\frac{2}{3}x=126$.

Multiply both sides by 3,

$$\begin{gathered} \frac{2}{3}x\times 3=126\times 3 \\ 2x=126\times 3 \\ x=\frac{126\times 3}{2} \\ x=63\times 3 \end{gathered}$$

So,

$x=\$189$