Answer :
Let's look at Mia's work and identify the error step by step.
1. Original Equation: Mia starts with the equation [tex]\(83 \cdot n = 110\)[/tex].
2. Mia's Mistake: She then multiplies both sides by 83. This is incorrect. The goal is to solve for [tex]\(n\)[/tex], which means we want to isolate [tex]\(n\)[/tex] on one side of the equation.
3. Correct Approach: Instead of multiplying, Mia should divide both sides of the equation by 83 to solve for [tex]\(n\)[/tex].
4. Correct Step:
- Start with the equation: [tex]\(83 \cdot n = 110\)[/tex].
- Divide both sides by 83 to isolate [tex]\(n\)[/tex]:
[tex]\[
n = \frac{110}{83}
\][/tex]
5. Finding [tex]\(n\)[/tex]: When you calculate [tex]\(\frac{110}{83}\)[/tex], you get approximately 1.3253.
Therefore, the correct solution is that [tex]\(n \approx 1.3253\)[/tex], and Mia's error was in incorrectly multiplying both sides by 83 instead of dividing.
1. Original Equation: Mia starts with the equation [tex]\(83 \cdot n = 110\)[/tex].
2. Mia's Mistake: She then multiplies both sides by 83. This is incorrect. The goal is to solve for [tex]\(n\)[/tex], which means we want to isolate [tex]\(n\)[/tex] on one side of the equation.
3. Correct Approach: Instead of multiplying, Mia should divide both sides of the equation by 83 to solve for [tex]\(n\)[/tex].
4. Correct Step:
- Start with the equation: [tex]\(83 \cdot n = 110\)[/tex].
- Divide both sides by 83 to isolate [tex]\(n\)[/tex]:
[tex]\[
n = \frac{110}{83}
\][/tex]
5. Finding [tex]\(n\)[/tex]: When you calculate [tex]\(\frac{110}{83}\)[/tex], you get approximately 1.3253.
Therefore, the correct solution is that [tex]\(n \approx 1.3253\)[/tex], and Mia's error was in incorrectly multiplying both sides by 83 instead of dividing.
