Q4. - Algebra 1

Question

How much glass will Allison need for the entire project, if she intends to use all of her blue glass?

Step-by-Step Solution

Answer

Allison will need glasses for the entire project $=1440\text{ sq. inches}$.

Step 1. Given information.

Allison is making a stained-glass window.

For glass windows, one-fifth of the glass should be blue.

Total blue glass = 288 square inches

Step 2. Write the concept.

In an equation, the variable represents the number that satisfies the equation.

To solve an equation means to find the value of the variable that makes the equation true.

Consider the total glass required for making a glass window be x.

Step 3. Find the equation.

The glass Allison would need for the entire project can be calculated as:

Blue glass $=\frac{1}{5}x$

Therefore,

 $\frac{1}{5}x=288$

Step 4. Solve the equation.

Take the equation $\frac{1}{5}x=288$ and multiply by 5 on both sides.

$$\begin{gathered} \frac{1}{5}x\times 5=288\times 5 \\ x=288\times 5 \\ x=1440\text{ sq. inches} \end{gathered}$$

The glass Allison would need for the entire project is 1440 sq. inches.