Question
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Omar gave out a survey to some students in his school about their favorite color. 650 of those surveyed said their favorite color was blue. If \( 65 \% \) of the students surveyed said their favorite color was blue, how many students were surveyed in total?

Ask by Rojas Spencer. in the United States
Jan 23,2025

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Answer

1000 students were surveyed in total.

Solution

To determine the total number of students surveyed, we can set up the following equation based on the information provided: \[ \text{Number of students who chose blue} = 65\% \times \text{Total number of students surveyed} \] Let's denote the total number of students surveyed as \( n \). Given that 650 students chose blue: \[ 650 = 0.65 \times n \] To solve for \( n \), divide both sides of the equation by 0.65: \[ n = \frac{650}{0.65} = 1000 \] **Answer:** 1000

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Bonus Knowledge

To find the total number of students surveyed, we can set up the equation based on the information given. If 65% of the total students surveyed favored blue, then we can express that mathematically as: \[ 0.65 \times \text{Total Students} = 650 \] To find the total students, we can solve for it: \[ \text{Total Students} = \frac{650}{0.65} = 1000 \] So, Omar surveyed a total of 1,000 students! Now, let's get back to the fun part! Did you know that the color blue is the most popular favorite color in the world, often associated with calmness and reliability? From the deep blue ocean to the clear skies, there's something soothing about it that resonates with many people! Also, when conducting surveys, a tip to avoid common mistakes is to ensure your sample size is representative! If you only ask your friends, you might end up with skewed results. The diversity of your respondents can ensure that your findings reflect the broader population's views accurately.

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