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Diego applied to x colleges. If Nikki applied to 3 times as many colleges as Diego did, how many colleges did Nikki apply to? Choose 1 answer: (A) 3 (B) x+3 (c) 3x (D) 3x+3

Diego applied to x x colleges. If Nikki applied to 33 times as many colleges as Diego did, how many colleges did Nikki apply to?\newlineChoose 11 answer:\newline(A) 33\newline(B) x+3 x+3 \newline(C) 3x 3 x \newline(D) 3x+3 3 x+3

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Full solution

Q. Diego applied to x x colleges. If Nikki applied to 33 times as many colleges as Diego did, how many colleges did Nikki apply to?\newlineChoose 11 answer:\newline(A) 33\newline(B) x+3 x+3 \newline(C) 3x 3 x \newline(D) 3x+3 3 x+3
  1. Denoting the number of colleges: Let's denote the number of colleges Diego applied to as xx. According to the problem, Nikki applied to 33 times as many colleges as Diego. To find out how many colleges Nikki applied to, we need to multiply the number of colleges Diego applied to by 33.\newlineCalculation: Nikki's colleges = 3×3 \times Diego's colleges = 3×x3 \times x
  2. Calculating Nikki's colleges: Now we need to match our calculation with the given answer choices. The calculation we performed was 3×x3 \times x, which means Nikki applied to 33 times the number of colleges that Diego applied to.
  3. Matching the calculation with answer choices: Looking at the answer choices, we can see that the correct answer that matches our calculation is (C) 3x3x. This is because it represents 33 times the number of colleges Diego applied to, which is xx.

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