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Yusuf tried to solve an equation step by step. (1)/(4)r+2=10 (1)/(4)r=12quad Step 1 r=48quad" Step "2 Find Yusuf's mistake. Choose 1 answer: (A) Step 1 (B) Step 2 (c) Yusuf did not make a mistake.

Yusuf tried to solve an equation step by step.\newline14r+2=10 \frac{1}{4} r+2=10 \newline14r=12 \frac{1}{4} r=12 \quad Step 11\newliner=48 Step 2 r=48 \quad \text { Step } 2 \newlineFind Yusuf's mistake.\newlineChoose 11 answer:\newline(A) Step 11\newline(B) Step 22\newline(C) Yusuf did not make a mistake.

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Full solution

Q. Yusuf tried to solve an equation step by step.\newline14r+2=10 \frac{1}{4} r+2=10 \newline14r=12 \frac{1}{4} r=12 \quad Step 11\newliner=48 Step 2 r=48 \quad \text { Step } 2 \newlineFind Yusuf's mistake.\newlineChoose 11 answer:\newline(A) Step 11\newline(B) Step 22\newline(C) Yusuf did not make a mistake.
  1. Original Equation: Yusuf's original equation is:\newline14r+2=10\frac{1}{4}r + 2 = 10\newlineTo isolate the term with rr, Yusuf subtracted 22 from both sides of the equation:\newline14r+2−2=10−2\frac{1}{4}r + 2 - 2 = 10 - 2\newline14r=8\frac{1}{4}r = 8\newlineLet's check if Yusuf made a mistake in this step.
  2. Isolating Term: In Step 22, Yusuf multiplied both sides of the equation by 44 to solve for rr:\newline4⋅14r=4⋅84 \cdot \frac{1}{4}r = 4 \cdot 8\newliner=32r = 32\newlineHowever, Yusuf wrote r=48r = 48. This is incorrect. The correct calculation should result in r=32r = 32.

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