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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.\newline25n+7amp;=1225namp;=5 Step 1namp;=2 Step 2 \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} \newlineFind Jamie's mistake.\newlineChoose 11 answer:\newline(A) Step 11\newline(B) Step 22\newline(C) Jamie did not make a mistake.

Full solution

Q. Jamie tried to solve an equation step by step.\newline25n+7=1225n=5 Step 1n=2 Step 2 \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} \newlineFind Jamie's mistake.\newlineChoose 11 answer:\newline(A) Step 11\newline(B) Step 22\newline(C) Jamie did not make a mistake.
  1. Start with equation: Jamie starts with the equation 25n+7=12\frac{2}{5}n + 7 = 12.\newlineTo isolate the term with nn, Jamie subtracts 77 from both sides of the equation.\newline25n+77=127\frac{2}{5}n + 7 - 7 = 12 - 7\newline25n=5\frac{2}{5}n = 5\newlineThis is Jamie's Step 11.
  2. Isolate term with n: Now, Jamie moves to Step 22, where they solve for nn.\newlineJamie writes n=2n = 2, which implies that they multiplied both sides of the equation 25n=5\frac{2}{5}n = 5 by 52\frac{5}{2}.\newlineHowever, multiplying 55 by 52\frac{5}{2} does not give 22.\newlineThe correct calculation should be 5×52=2525 \times \frac{5}{2} = \frac{25}{2}.\newlineJamie made a mistake in this step.