Chapter C, Problem 1DE

Complete.

$5\text{ gal}=\_\_\_\_\_\text{pt}$

To determine

To fill: The blank in the statement, “ $5\text{gal}$ is equal to _____ pt.”.

Answer to Problem 1DE

Solution:

The complete statement is, “ $5\text{gal}$ is equal to $\underset{\_}{\text{40}}$ pt.”.

Explanation of Solution

According to American system of measurement gallon is used to measure large fluid quantity and denoted as $\left(\text{gal}\right)$. Pints is used to measure relatively small fluid quantity and is denoted as $\left(\text{pt}\right)$.

First convert provided capacity into quarts,

Since, $1\text{gal}=4\text{qt}$

Therefore,

$\begin{array}{c}5\text{gal}=5\times 1\text{gal}\\ =5\times 4\text{qt}\\ =20\text{qt}\end{array}$.

Now convert 20 qt into pints (pt.),

Since, $1\text{qt}=2\text{pt}$

Therefore,

$\begin{array}{c}20\text{qt}=20\times 1\text{qt}\\ \text{=20}\times \text{2}\text{pt}\\ =\text{40}\text{pt}\end{array}$

Hence, the complete statement is, “ $5\text{gal}$ is equal to $\text{40}$ pt.”