Chapter 1.2, Problem 40PPS

(a)

To determine

To describe: Describe the relationship between the quarts and cups in words

Answer to Problem 40PPS

The number of quarts is one fourth of the number of cups.

Explanation of Solution

Given information: A table that represents the number of cups and quarts

Describe: Number of quarts depends on the number of cups.

To get the number of quarts , the number of cups should be divided by 4.

  $quarts=\frac{cups}{4}$

So, the number of quarts is one fourth of the number of cups.

(b)

To determine

To evaluate: the relationship between the quarts and cups in expression.

Answer to Problem 40PPS

Expression: $\frac{c}{4}$

Explanation of Solution

Given information: Expression that represents the number of cups and quarts $\frac{c}{4}$

Describe: Number of quarts depends on the number of cups.

To get the number of quarts, the number of cups should be divided by 4.

  $quarts=\frac{cups}{4}$

The number of quarts is one fourth of the number of cups.

Let ‘c’ be the number of cups

Replace the variable

  $\begin{array}{l}quarts=\frac{cups}{4}\\ quarts=\frac{c}{4}\end{array}$

The expression that represents the number of quarts in ‘c’cups is $\frac{c}{4}$

(c )

To determine

To write: the relationship between the quarts and cups in expression.

Answer to Problem 40PPS

There are 25 quarts in 100 cups.

Explanation of Solution

Given information: A table that represents the number of cups and quarts

Total of 100 cups.

Evaluation: Number of quarts depends on the number of cups.

Let ‘c’ be the number of cups

Expression to find the number of quarts in ‘c’cups is $\frac{c}{4}$

We need to find the number of quarts for 100 cups using the expression.

  $\begin{array}{l}quarts=\frac{c}{4}\\ quarts=\frac{100}{4}=25\end{array}$

There are 25 quarts in 100 cups.