Question

a large bottle contains a number of medicinal tablets each having a mass of 250mg the mass of all the tablets is 0.5kg calculate the number of tablets in the bottle​

Answer 1

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: $x=\frac{0.5 kgx1,000,000 mg}{1 kg}$

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?

$number of medicinal tablets=\frac{500,000 mgx1 tablet}{250 mg}$

number of medicinal tablets= 2,000

Finally, the number of tablets in the bottle is 2,000.

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