College

Look at Mia's work.

[tex]
\[
\begin{aligned}
83+n & =110 \\
83+83+n & =110+83 \\
n & =193
\end{aligned}
\]
[/tex]

What was Mia's error?

A. Mia's work is correct.
B. Mia made an addition error when adding 110 and 83.
C. Mia only needed to add 83 to 110.
D. Mia should have subtracted 83 from both sides of the equation.

Answer :

To solve for [tex]\( n \)[/tex] in the equation [tex]\( 83 + n = 110 \)[/tex], Mia should have followed these steps:

1. Start from the original equation:
[tex]\[
83 + n = 110
\][/tex]

2. Isolate [tex]\( n \)[/tex] by subtracting 83 from both sides of the equation:
- Subtracting 83 from the left side cancels out the 83, leaving you with just [tex]\( n \)[/tex].
- Subtracting 83 from the right side changes it to [tex]\( 110 - 83 \)[/tex].

[tex]\[
n = 110 - 83
\][/tex]

3. Calculate the result:
- Perform the subtraction on the right side: [tex]\( 110 - 83 = 27 \)[/tex].

Thus, the correct solution to the equation is:
[tex]\[
n = 27
\][/tex]

Mia's error was in the step where she added 83 to both sides of the equation instead of subtracting it from both sides.

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