Question

cooper gave out a survey to some students in his school about their favorite color. students could choose between red and blue. 129 of those surveyed said their favorite color was red. 57% of the students surveyed said their favorite color was blue. how many students were surveyed in total?

Explanation:

Step1: Find the percentage of red voters

Since 57% chose blue, the percentage for red is $100\% - 57\% = 43\%$.

Step2: Let total students be \( x \)

We know 43% of \( x \) is 129, so $0.43x = 129$.

Step3: Solve for \( x \)

Divide both sides by 0.43: \( x = \frac{129}{0.43} = 300 \).

Answer:

300