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Erin loves to play sports. In all, she has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy. What is the ratio of Erin's tennis trophies to all of her trophies? Choose 1 answer: (A) 3:4 (B) 3:7 (C) 3:12 (D) 3:15

Erin loves to play sports. In all, she has earned 33 tennis trophies, 44 basketball trophies, 77 soccer trophies, and 11 volleyball trophy.\newlineWhat is the ratio of Erin's tennis trophies to all of her trophies?\newlineChoose 11 answer:\newline(A) 3:4 3: 4 \newline(B) 3:7 3: 7 \newline(C) 3:12 3: 12 \newline(D) 3:15 3: 15

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Q. Erin loves to play sports. In all, she has earned 33 tennis trophies, 44 basketball trophies, 77 soccer trophies, and 11 volleyball trophy.\newlineWhat is the ratio of Erin's tennis trophies to all of her trophies?\newlineChoose 11 answer:\newline(A) 3:4 3: 4 \newline(B) 3:7 3: 7 \newline(C) 3:12 3: 12 \newline(D) 3:15 3: 15
  1. Calculate total trophies: To find the ratio of Erin's tennis trophies to all of her trophies, we first need to calculate the total number of trophies she has.\newlineCalculation: Total trophies = Tennis trophies + Basketball trophies + Soccer trophies + Volleyball trophies\newlineTotal trophies = 3+4+7+13 + 4 + 7 + 1\newlineTotal trophies = 1515
  2. Find ratio of tennis trophies to total trophies: Now that we have the total number of trophies, we can find the ratio of tennis trophies to the total number of trophies.\newlineCalculation: Ratio = Tennis trophies : Total trophies\newlineRatio = 3:153 : 15
  3. Simplify the ratio: We can simplify the ratio by dividing both terms by the greatest common divisor of 33 and 1515, which is 33.\newlineCalculation: Simplified ratio = (Tennis trophies÷3):(Total trophies÷3)(\text{Tennis trophies} \div 3) : (\text{Total trophies} \div 3)\newlineSimplified ratio = 1:51 : 5

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