Chapter 1, Problem 54A

Interpretation Introduction

Interpretation : The number of games that this team will lose in a 162-game season is to be calculated.

Concept Introduction : The methods for solving numerical problems are arranged into a three-step approach to problem-solving. Analyzing, calculating, and evaluating are the steps in solving a numerical word problem.

Answer to Problem 54A

The games that team will lose in a 162-game season are $54\text{games}$ .

Explanation of Solution

Given information:

The basketball team wins two out of three games.

There is a 162-game season played by the basketball team.

The methods for solving numerical problems are arranged into a three-step approach to problem-solving.

Analyzing, calculating, and evaluating are the steps in solving a numerical word problem.

The basketball team wins two out of three games means the fraction of winning is $\frac{2}{3}$ while the fraction of losing is $\frac{1}{3}$ .

To calculate the team will lose in a 162-game season, the fraction of losing is multiplied by the number of games.

  $\begin{array}{c}\text{No}\text{.}\text{of lose}\text{=}\frac{1}{3}\times 162\text{games}\\ =54\text{games}\end{array}$