Chapter 1, Problem 77A

Interpretation Introduction

Interpretation : The cost of a package of the envelope 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 77A

The cost of a package of an envelope is $\$1.00$ .

Explanation of Solution

Given information:

A crate of envelopes sells for $\$576.00$ .

It is known that $\text{1}\text{carton}\text{=}\text{6}\text{package}$ , $\text{1}\text{box}\text{=}12\text{carton}$ and $\text{1}\text{crate}\text{=}8\text{boxes}$ .

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.

To calculate the cost of a package of envelopes, follow the below calculation:

  $\begin{array}{c}\text{cost}\text{=1}\cancel{\text{package}}\times \frac{\$576.00}{1\cancel{\text{crate}}}\text{×}\frac{1\cancel{\text{carton}}}{6\cancel{\text{package}}}\text{×}\frac{1\cancel{\text{box}}}{\text{12}\cancel{\text{carton}}}\text{×}\frac{1\cancel{\text{crate}}}{8\cancel{\text{box}}}\\ =\$1.00\end{array}$

Interpretation Introduction

Interpretation : The fact given in the problem was not needed to calculate the answer is to be identified.

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 77A

The 250 envelopes in a package are unnecessary facts and not needed to calculate the answer.

Explanation of Solution

Given information:

A crate of envelopes sells for $\$576.00$ .

It is known that $\text{1}\text{carton}\text{=}\text{6}\text{package}$ , $\text{1}\text{box}\text{=}12\text{carton}$ and $\text{1}\text{crate}\text{=}8\text{boxes}$ .

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 cost of the packaging envelope is calculated.

The number of envelopes in a package is an unnecessary fact that is not used in the calculation of the problem.