Answer :

Final answer:

Only the equivalent is 3 teaspoons (tsp) = 1 tablespoon (Tbsp) = 15 milliliters (mL)' is true. Option 'a' combines different types of measurements. Option 'c' underestimates the volume conversion, and option 'd' is significantly off in mass conversion. Option b is correct.

Explanation:

In the question, we are asked to determine which of the following equivalents is true:

  • a. 1 fluid dram (fl dr) = 4 grams (g)
  • b. 3 teaspoons (tsp) = 1 tablespoon (Tbsp) = 15 milliliters (mL)
  • c. 4 fluid ounces (fl oz) = 10 milliliters (mL)
  • d. 15 grains (gr) = 100 milligrams (mg)

Let's verify each one by using known conversions:

  • 1 fl dr is a measure of volume and cannot be directly equated to grams, which measure mass.
  • 3 tsp equals 1 Tbsp and from LibreTexts™, we know 1 teaspoon is approximately 4.93 milliliters, so 3 tsp is actually close to 14.79 mL, which can be rounded to 15 mL; this makes option b correct.
  • 1 fluid ounce equals approximately 29.57 mL, therefore 4 fl oz equals approximately 118.28 mL, not 10 mL.
  • 1 grain equals approximately 64.799 milligrams, so 15 grains would be approximately 971.985 mg, not 100 mg.

Therefore, the correct equivalent from the options given is b. 3 tsp = 1 Tbsp = 15 mL.

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