What was Mia's error?

(1 point)
Responses

Mia only needed to add 83 to 110.
Mia only needed to add 83 to 110.

Mia made an addition error when adding 83 and 110.
Mia made an addition error when adding 83 and 110.

Mia should have subtracted 83 from both sides of the equation.
Mia should have subtracted 83 from both sides of the equation.

Mia's work is correct. No errors.

83+n=110
83+83+n=110+83
n=193

1 answer

Mia's error was in the step where she added 83 to both sides of the equation. The correct approach would be to subtract 83 from both sides to isolate \( n \).

Starting from the original equation:

\[ 83 + n = 110 \]

If we subtract 83 from both sides:

\[ n = 110 - 83 \]

Thus, \( n = 27 \).

Mia incorrectly concluded that \( n = 193 \) after adding 83 to both sides, which is an addition error. Therefore, the correct response is:

Mia made an addition error when adding 83 and 110.