Chapter 1.9, Problem 30PPE

To determine

Find the total number of square inches of glass she need for the entire project.

Answer to Problem 30PPE

  $1440\text{sq}\text{ft}$

Explanation of Solution

Given:

Allison`s pattern that one − fifth of the glass should be blue. She has 288 square inches of blue glass. She intends to use all of her blue glass.

Concept Used:

Let she needs tin total $x$ sq ft of glass for her entire project. She also needs one − fifth of glass must be blue. She has 288 square feet blue glass.

Amount of blue glass is $\frac{1}{5}x$ square feet and she has 288 square feet blue glass.

Calculation:

One − fifth of pattern should be blue and she has 288 square feet of blue glass.

  $\frac{1}{5}x$ Square feet and 288 square feet both are equal.

Equation: $\frac{1}{5}x=288$

Multiply both sides by the denominator of leading term of left side.

  $\begin{array}{l}\frac{1}{5}x=288\\ 5·\frac{1}{5}x=5·288\\ x=1440\end{array}$

Allison needs $1440\text{sq}\text{ft}$ of glass for her entire project.

Thus, Allison needs $1440\text{sq}\text{ft}$ of glass for her entire project.