Considering the change of units and rule of three, the number of tablets in the bottle is 2,000.
First of all, you know that each medicinal tablet has a mass of 250 mg, while the mass of all tablets is 0.5 kg. You can see that the measurements are in different units of measurement, so you must make a change of units so that they are in the same units.
So, knowing that 1 kg is equal to 1,000,000 mg, you can apply the following rule of three: if 1 kg is equal to 1,000,000 mg, 0.5 kg is equal to how many mg?
1 kg ⇒ 1,000,000 mg
0.5 kg ⇒ x mg
So: [tex]x=\frac{0.5 kgx1,000,000 mg}{1 kg}[/tex]
x= 500,000 mg
Then, you know that each medicinal tablet has a mass of 250 mg, while the mass of all tablets is 500,000 mg. Now that the values are in the same units, to calculate the number of medicinal tablets you must apply the following rule of three: if 1 tablet has a mass of 250 mg, how many tablets have a mass of 500,000 mg?
[tex]number of medicinal tablets=\frac{500,000 mgx1 tablet}{250 mg}[/tex]
number of medicinal tablets= 2,000
Finally, the number of tablets in the bottle is 2,000.
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