Hello..!
To solve the problem and calculate the number of pills in the package, we will use the conversion factor.
The conversion factor or unit factor is a conversion method that is based on multiplying by one or more fractions where the numerator and denominator are equal quantities expressed in different units of measure, so that each fraction is equivalent to the unit.
Find out that 1 gram has a total of 1000 mg.
Problem:
How many g are in a carton containing 10 tablets of 500 mg each?
According to the previous text we can say that the conversion factor would be:
![\: \: \: \: \: \qquad \qquad \large \sf(1\ g)/(1000\ mg)](https://img.qammunity.org/2023/formulas/physics/high-school/3oprfl30hvs1ttxxltvf22nugh89cybzni.png)
Now we must find out that the box has a total of 10 pills of 500 mg, so to know how many grams the box has we must know how many grams only one pill weighs:
![\sf \qquad\boxed{\boxed{ \sf\large 500\ mg*(1\ g)/(1000\ mg)= 0.5\ g}}](https://img.qammunity.org/2023/formulas/physics/high-school/g9d6gliw34xxovxnrgoipoanf7hvm8vdgi.png)
We know that a pill weighs 0.5 grams, now to calculate how many grams the box weighs we must multiply the total pills by the weight of just one pill:
![\qquad \boxed{\boxed{ \sf\large 0.5\ g* 10= 5\ g}}](https://img.qammunity.org/2023/formulas/physics/high-school/l4j1cy3rtbimz2cb88rtht8gs599161o5h.png)
We conclude that one box contains 5 grams of tablet, option 1.
![\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Good studies! :D}\\\rule{7cm}{0.01mm}\end{gathered}](https://img.qammunity.org/2023/formulas/physics/high-school/hvpr8fhbux5chrznw7ky9zg6a2402kbnu7.png)