College

Use the following chart to convert grains to milligrams and grams.

\[
\begin{tabular}{|l|l|}
\hline
\multicolumn{2}{|c|}{Approximate Equivalents} \\
\hline
1 teaspoon [tex]$= 5$[/tex] milliliters & 1 kilogram [tex]$= 2.2$[/tex] pounds \\
grain [tex]$i = 60$[/tex] milligrams & 1 teaspoon [tex]$= 60$[/tex] drops \\
grain [tex]$i = 1$[/tex] drop & 1 quart [tex]$= 1$[/tex] liter \\
fluid ounce [tex]$1 = 6$[/tex] teaspoons & 1 pint [tex]$= 2$[/tex] cups \\
fluid ounce [tex]$1 = 2$[/tex] tablespoons & 1 quart [tex]$= 32$[/tex] fluid ounces \\
fluid ounce [tex]$1 = 30$[/tex] milliliters & 1 gram [tex]$= 15$[/tex] grains \\
1 inch [tex]$= 2.54$[/tex] centimeters & 1 cup [tex]$= 240$[/tex] milliliters \\
\hline
\end{tabular}
\]

Use the chart to complete the conversions:

Grains xiv [tex]$=$[/tex] [tex]$\square$[/tex] milligrams.

(Type an integer or decimal rounded to the nearest tenth as needed.)

Grains xiv [tex]$=$[/tex] [tex]$\square$[/tex] grams.

(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answer :

Alright, let's perform the conversion step-by-step.

1. Conversion from grains to milligrams:

- From the chart, we know that [tex]\( \text{1 grain} = 60 \text{ milligrams} \)[/tex].
- We need to convert [tex]\( \text{grains xiv} \)[/tex] (which is 14 grains) to milligrams.

[tex]\[
\text{milligrams} = 14 \text{ grains} \times 60 \text{ milligrams/grain} = 840 \text{ milligrams}
\][/tex]

Therefore, the answer is [tex]\( 840 \text{ milligrams} \)[/tex].

2. Conversion from grains to grams:

- From the chart, we know that [tex]\( 15 \text{ grains} = 1 \text{ gram} \)[/tex].
- We need to convert [tex]\( 14 \text{ grains} \)[/tex] to grams.

[tex]\[
\text{grams} = \frac{14 \text{ grains}}{15 \text{ grains/gram}} = 0.9333 \text{ grams}
\][/tex]

Rounding this to the nearest hundredth:

[tex]\[
0.9333 \approx 0.93
\][/tex]

Therefore, the answer is [tex]\( 0.93 \text{ gram} \)[/tex].

Summary:

The answer in milligrams is [tex]\( 840 \)[/tex] milligrams.
The answer in grams is [tex]\( 0.93 \)[/tex] grams.