Answer :
Given parameters:
Mass of each tablet = 250mg = 0.25g
Mass of all tablets in the bottle = 1kg = 1000g
Unknown:
Number tablets in the bottle = ?
Solution:
The number of tablets in the bottle;
Number of tablets = [tex]\frac{mass of all tablets in the bottle}{mass of each tablet}[/tex]
Mass is the amount of matter that makes up a substance
Number of tablets = [tex]\frac{1000g}{ 250 x 10^{-3} }[/tex] = 4000 tablets
Considering the rule of three, the number of tablets in the bottle is 4.
In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So: [tex]x=\frac{cxb}{a}[/tex]
The direct rule of three is the rule applied in this case as follow: if 250 mg = 0.250 g is the mass of 1 medicinal tablet, 1 kg = 1000 g is the mass of how many medicinal tablets?
0.250 grams ⇒ 1 medicinal tablet
1000 grams ⇒ x
Then:
[tex]x=\frac{1000 gramsx1 medicinal tablet}{0.250 grams}[/tex]
x= 4 medicinal tablets
Finally, the number of tablets in the bottle is 4.
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