Final answer:
The weight of one teaspoon of nutmeg from a box weighing 1 1/3 ounces containing 20 teaspoons is 1/15 ounces, which is approximately 0.0667 or rounded to 0.07 ounces, hence the closest answer is (b) 0.07 ounces.
Step-by-step explanation:
To determine the weight of one teaspoon of nutmeg from a 1 1/3 ounce box containing 20 teaspoons, we firstly need to convert the fractional weight of the box to ounces only. Since 1 ounce is the same as 1/3 ounces three times, 1 1/3 ounces is equivalent to 4/3 ounces. To find the weight of one teaspoon, we divide the total weight by the number of teaspoons:
Weight of one teaspoon = Total weight of the box / Number of teaspoons
Weight of one teaspoon = (4/3 ounces) / 20 teaspoons
Weight of one teaspoon = 4/(3 × 20) ounces
Weight of one teaspoon = 1/15 ounces
To express this as a decimal, we divide 1 by 15 which gives us approximately 0.0667 ounces. When we look at the choices provided, the closest to this calculated weight and the correct answer is (b) 0.0667 ounces which approximates to 0.07 ounces when rounded to two decimal places.