Answer :
We start with the equation
[tex]$$83+n=110.$$[/tex]
The proper method to solve for [tex]$n$[/tex] is to subtract [tex]$83$[/tex] from both sides:
[tex]$$n=110-83=27.$$[/tex]
However, in the work shown, instead of subtracting, [tex]$83$[/tex] was added to both sides:
[tex]$$83+83+n=110+83,$$[/tex]
which simplifies to
[tex]$$166+n=193.$$[/tex]
While subtracting [tex]$166$[/tex] from [tex]$193$[/tex] still gives [tex]$27$[/tex], the correct procedure is to subtract [tex]$83$[/tex] from both sides of the original equation.
Thus, the error in Mia's work is that she should have subtracted [tex]$83$[/tex] from both sides of the equation.
[tex]$$83+n=110.$$[/tex]
The proper method to solve for [tex]$n$[/tex] is to subtract [tex]$83$[/tex] from both sides:
[tex]$$n=110-83=27.$$[/tex]
However, in the work shown, instead of subtracting, [tex]$83$[/tex] was added to both sides:
[tex]$$83+83+n=110+83,$$[/tex]
which simplifies to
[tex]$$166+n=193.$$[/tex]
While subtracting [tex]$166$[/tex] from [tex]$193$[/tex] still gives [tex]$27$[/tex], the correct procedure is to subtract [tex]$83$[/tex] from both sides of the original equation.
Thus, the error in Mia's work is that she should have subtracted [tex]$83$[/tex] from both sides of the equation.
