Respuesta :

120 grains is = 2drahms because 2 drahms is equal to 120 grains (p=q, q=r)

Answer:

5 Drahms

Step-by-step explanation:

Let g represent grains

Let d represent drahms

Let s represent scruples

120g × 2 = 240g

240g + 60g = 300g

120g = 6s

Since we multiplied by two earlier, we know that we can make at least twelve scruples (6 × 2). However, we cant just leave the extra 60gs behind, so, since 60 is half of 120, we can assume that 60g = 3s.

Now we have 15s.

Since 6s = 2d, and we know we have at least 4 drahms since we have a total of 15 scruples. We are now left over with 3 scruples. We can safely assume that since there is 3 scruples left, which is half of 6, the total amount needed for 2 drahms, we can figure out that 3 scruples = 1 drahm. Therefore, 2d + 2d + 1d = 5 Drahms.