we know that
a) A box of ground nutmeg weighs [tex]1 1/3[/tex] ounces
b) There are [tex]20[/tex] teaspoons of nutmeg in the box
Step 1
Convert mixed number to an improper fraction
[tex]1\frac{1}{3} \ ounces= \frac{1*3+1}{3}= \frac{4}{3}\ ounces[/tex]
Step 2
By proportion
Find the weight of one teaspoon
[tex]\frac{(4/3)}{20} \frac{ounces}{teaspoons} =\frac{x}{1} \frac{ounces}{teaspoon} \\ \\x= \frac{4}{20*3}\\ \\x= \frac{4}{60}\ ounces\\\\x=\frac{1}{15}\ ounces[/tex]
therefore
the answer is the option
[tex]\frac{1}{15}\ ounces[/tex]
