Question
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4. There were 24 teams at a soccer tournament. In all, 12 teams wore red shirts, 6 teams wore blue shirts, 4 teams wore orange shirts, and 2 teams wore white shirts. What is the ratio of teams wearing orange to teams wearing blue? \( 1: 2 \) \( 6: 4 \) \( 2: 3 \) \( 6: 2 \)

Ask by Elliott Olson. in the United States
Jan 25,2025

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Tutor-Verified Answer

Answer

The ratio of teams wearing orange shirts to teams wearing blue shirts is \( 2:3 \).

Solution

To find the ratio of teams wearing orange shirts to teams wearing blue shirts: - **Number of teams wearing orange shirts:** 4 - **Number of teams wearing blue shirts:** 6 The ratio of orange to blue is \( 4:6 \). This can be simplified by dividing both numbers by their greatest common divisor, which is 2: \[ \frac{4}{6} = \frac{2}{3} \] So, the simplified ratio is \( 2 : 3 \). **Answer:** \( 2 : 3 \)

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The Deep Dive

To find the ratio of teams wearing orange to teams wearing blue, we need to look at the number of teams in each category. There are 4 teams wearing orange and 6 teams wearing blue. The ratio can be simplified as follows: 4 (orange) : 6 (blue) = 2 : 3 So, the correct answer is \( 2: 3 \). Now, let's add a little context and fun! It's interesting to note that soccer originated in England during the 19th century, evolving from various forms of foot-based games that had been played for centuries. Fast forward to today, and soccer is one of the most popular sports worldwide, loved for its spirit and camaraderie—think about how colors like red and blue can symbolize team pride and rivalry during international tournaments! Also, understanding ratios can be super useful in everyday life! For example, if you're baking cookies and the recipe calls for a 2:3 ratio of chocolate chips to flour, knowing how to simplify ratios helps you adjust your ingredients without fail. Just remember, practice makes perfect, so keep those math skills sharp!

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