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

Question

marysya [2.9K]

3 years ago

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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

Physics

1 answer:

lys-0071 [83] · Answer 1 · 2022-06-06T21:46:27+03:00

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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