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.

1 answer

To find the number of grams (g) represented by 6,750 milligrams (mg), we can use the conversion factor of 1,000 mg = 1 g. We can set up a proportion based on this conversion.

Let \( x \) be the number of grams. We know: \[ \frac{6,750 \text{ mg}}{1,000 \text{ mg}} = \frac{x \text{ g}}{1 \text{ g}} \]

Now we can cross multiply: \[ 6,750 \text{ mg} \cdot 1 = x \text{ g} \cdot 1,000 \text{ mg} \] \[ 6,750 = 1,000x \]

Next, we solve for \( x \): \[ x = \frac{6,750}{1,000} = 6.75 \]

Therefore, \( x = 6.75 \) grams.

Thus, the number of grams represented by 6,750 milligrams is 6.75 grams.