Question

during the middle ages, people often used grains, scruples, and drams to measure the weights of different medicines. if 120 grains are equivalent to 6 scruples and 6 scruples are equivalent to 2 drams, how many drams are equivalent to 300 grains? if you get stuck, try creating a table. type your answer in the box. ( ) drams are equivalent to 300 grains. explain your reasoning. type here

Explanation:

Step1: Find grains per dram

Given \(120\) grains \(=\) \(6\) scruples and \(6\) scruples \(=\) \(2\) drams, so \(120\) grains \(=\) \(2\) drams. Then grains per dram: \(\frac{120}{2} = 60\) grains/dram.

Step2: Calculate drams for 300 grains

Divide \(300\) grains by grains per dram: \(\frac{300}{60}=5\).

Answer:

5