Answered

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Marcus tried to solve an equation.

[tex]\[
\begin{aligned}
2.5b & = 5 \\
\frac{2.5b}{2.5} & = \frac{5}{2.5} \\
b & = 3
\end{aligned}
\][/tex]

Where did Marcus make his first mistake?

Choose one answer:
(A) Setting up
(B) Calculating
(C) Marcus correctly solved the equation.

Sagot :

GinnyAnswer
Sure, let's analyze the steps Marcus took to solve the equation and understand where he might have made an error.

1. Original Equation:
[tex]\[ 2.5b = 5 \][/tex]

This equation is correctly set up. Nothing wrong here.

2. Dividing both sides by 2.5 to isolate [tex]\( b \)[/tex]:
[tex]\[ \frac{2.5b}{2.5} = \frac{5}{2.5} \][/tex]

Simplifying the left-hand side, we get:
[tex]\[ b = \frac{5}{2.5} \][/tex]

3. Calculating [tex]\( \frac{5}{2.5} \)[/tex]:

This is the crucial step. Marcus needs to compute:
[tex]\[ \frac{5}{2.5} \][/tex]

To do this division correctly:
[tex]\[ \frac{5}{2.5} = 2 \][/tex]
So, [tex]\( b = 2 \)[/tex].

4. Marcus’ Result:
Marcus wrote [tex]\( b = 3 \)[/tex]. This is incorrect because:
[tex]\[ b = 2 \][/tex]

Therefore, Marcus made his mistake during the calculation step. The correct calculation of [tex]\( \frac{5}{2.5} \)[/tex] should yield 2, not 3.

So, the correct answer is:
(B) Calculating
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