Question

Which of the following equivalents is true?

a. 1 fl dr= 4 g
b. 3 tsp = 1 Tbcp = 15 mL
c. 4 fl oz = 10 mL
d. 15 gr = 100 mg

Answer 1

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.

Step-by-step 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.