Chapter 6.3, Problem 2E

Objective A Solve. For Exercises 1 and 2, the solutions have been started for you. See Examples 1 through 3. An NBA basketball averages 45 baskets for every 100 attempts.

If he made 225 baskets, how many did he attempt?

Start the solution

1. UNDERSTAND the problem. Reread it as many times as needed. Let’s let

$\text{x=how}\text{many}\text{baskets}\text{attempted}$

2. TRANSLATE into an equation.

$\begin{array}{c}\text{basket}\to \\ \text{attempts}\to \end{array}\frac{45}{100}=\frac{225}{x}\begin{array}{c}\leftarrow \text{baskets }\\ \leftarrow \text{attempts}\end{array}$

3. SOLVE the equation. Set cross products equal to each other and solve.

$\frac{45}{100}\xcancel{=}\frac{225}{x}$

Finish by SOLVING and

4. INTERPRET