Question

Knowing 1,000 milligrams (mg) = 1 gram (g), what proportion do we cross multiply to find the number of grams (g) represented by x, if we have 6,750 milligrams (mg)? Find x.
10,000 mg 1 g = 6.750 mg x = 6.75 g

Answer 1

To find the number of grams (g) represented by 6,750 milligrams (mg), we can set up a proportion based on the relationship between milligrams and grams. We know that:

1,000 mg = 1 g.

To find the equivalent in grams for 6,750 mg, we can set up the proportion:

\[\frac{1 \text{ g}}{1000 \text{ mg}} = \frac{x \text{ g}}{6750 \text{ mg}}\]

Now we can cross-multiply to find \(x\):

\[1 \, \text{g} \times 6750 \, \text{mg} = 1000 \, \text{mg} \times x \, \text{g}\]

This simplifies to:

\[6750 = 1000x\]

Now, divide both sides by 1000:

\[x = \frac{6750}{1000} = 6.75 \, \text{g}\]

Thus, the number of grams represented by 6,750 milligrams is \(x = 6.75 \, \text{g}\).