Final answer:
Sam made a conversion error. He used the wrong conversion factor when converting from teaspoons to tablespoons.
Step-by-step explanation:
Sam made a conversion error. To find how many tablespoons the 15 tsp of orange oil is, Sam used the incorrect conversion factor. The correct conversion factor is 1 tbsp = 3 tsp, not 1 tbsp = 5 tsp. Let's calculate the correct conversion:
15 tsp * (1 tbsp / 3 tsp) = 5 tbsp
Therefore, Sam should have gotten 5 tbsp of orange oil, not 45 tbsp. Sam's error was in using the wrong conversion factor.