Final answer:
To convert 3.3 scruples to kilograms, we can use conversion factors to go from scruples to grams, ounces, and finally, kilograms. The final answer is 0.00427 kilograms.
Step-by-step explanation:
To convert scruples to kilograms, we will need to use the conversion factors given. First, we convert scruples to grams by using the conversion factor 1 scruple = 20 grains. So, 3.3 scruples is equal to 3.3 x 20 = 66 grains. Next, we convert grains to ounces using the conversion factor 1 ounce = 480 grains. Thus, 66 grains is equal to 66 / 480 = 0.1375 ounce. Finally, we convert ounces to kilograms using the conversion factor 1 gram = 0.03215 ounce. Therefore, 0.1375 ounce is equal to 0.1375 / 0.03215 = 4.27 grams.
To convert grams to kilograms, we divide by 1000. So, 4.27 grams is equal to 4.27 / 1000 = 0.00427 kilograms.