Question

7. During the Middle Ages, people often used grains, scruples, and drahms to measure the weights of different medicines. If 120 grains are equivalent to 6 scruples and 6 scruples are equivalent to 2 drahms,
how many drahms are equivalent to 300 grains? Explain your reasoning. If you get stuck, try creating a table.

Answer 1

Answer:

5 drahms.

Step-by-step explanation:

From the question given above, the following data were obtained:

120 grains = 6 scruples

6 scruples = 2 drahms

300 grains (in drahms) =..?

From the above data,

120 grains = 6 scruples

6 scruples = 2 drahms

Therefore,

120 grains = 2 drahms

Thus, we can obtain 300 grains in drahms as follow:

120 grains = 2 drahms

Therefore,

300 grains = 300 grains × 2 drahms /120 grains

300 grains = (300 × 2)/120 drahms

300 grains = 5 drahms

Therefore, 300 grains is equivalent to 5 drahms.