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Jamie tried to solve an equation step by step.

{:[(2)/(5)n+7=12],[(2)/(5)n=5quad" Step "1],[n=2quad" Step "2]:}
Find Jamie's mistake.
Choose 1 answer:
(A) Step 1
(B) Step 2
(C) Jamie did not make a mistake.

Jamie tried to solve an equation step by step. $\newline$ $\begin{aligned} \frac{2}{5} n+7 & =12 \\ \frac{2}{5} n & =5 \quad \text { Step } 1 \\ n & =2 \quad \text { Step } 2 \end{aligned}$ $\newline$ Find Jamie's mistake. $\newline$ Choose $1$ answer: $\newline$ (A) Step $1$ $\newline$ (B) Step $2$ $\newline$ (C) Jamie did not make a mistake.

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Solve one-step multiplication and division equations: word problems

Full solution

Q. Jamie tried to solve an equation step by step.

\newline

\begin{aligned} \frac{2}{5} n+7 & =12 \\ \frac{2}{5} n & =5 \quad \text { Step } 1 \\ n & =2 \quad \text { Step } 2 \end{aligned}

\newline

Find Jamie's mistake.

\newline

Choose

1

answer:

\newline

(A) Step

1

\newline

(B) Step

2

\newline

(C) Jamie did not make a mistake.

Start with equation: Jamie starts with the equation $\frac{2}{5}n + 7 = 12$ . $\newline$ To isolate the term with $n$ , Jamie subtracts $7$ from both sides of the equation. $\newline$ $\frac{2}{5}n + 7 - 7 = 12 - 7$ $\newline$ $\frac{2}{5}n = 5$ $\newline$ This is Jamie's Step $1$ .
Isolate term with n: Now, Jamie moves to Step $2$ , where they solve for $n$ . $\newline$ Jamie writes $n = 2$ , which implies that they multiplied both sides of the equation $\frac{2}{5}n = 5$ by $\frac{5}{2}$ . $\newline$ However, multiplying $5$ by $\frac{5}{2}$ does not give $2$ . $\newline$ The correct calculation should be $5 \times \frac{5}{2} = \frac{25}{2}$ . $\newline$ Jamie made a mistake in this step.

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