Let's go through the solution step by step to identify where Trent made his mistake.
1. Original Equation:
[tex]\[
\frac{g}{3} = \frac{4}{3}
\][/tex]
2. Isolating [tex]\( g \)[/tex]:
To solve for [tex]\( g \)[/tex], we need to isolate it on one side of the equation. We can do this by multiplying both sides by 3:
[tex]\[
\frac{g}{3} \cdot 3 = \frac{4}{3} \cdot 3
\][/tex]
3. Simplifying:
When we multiply both sides by 3:
[tex]\[
g = \frac{4}{3} \cdot 3
\][/tex]
4. Calculating the right side:
Simplify the right side:
[tex]\[
g = 4
\][/tex]
So, the correctly simplified equation reveals that [tex]\( g = 4 \)[/tex].
Now let's see where Trent went wrong:
- Trent stated: [tex]\( \frac{g}{3} \cdot 3 = \frac{4}{3} \cdot \frac{1}{3} \)[/tex]
- This is incorrect because the right side should multiply by 3, not [tex]\( \frac{1}{3} \)[/tex].
Thus, Trent's mistake occurred in Setting up the equation incorrectly when he multiplied the right side:
(A) Setting up
