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14. in a school survey, 40% of students said their favorite subject is …

Question

  1. in a school survey, 40% of students said their favorite subject is math, 22% said science, and 18% said history. there were 250 students who responded to the survey.

a) how many students chose math, science, and history?

Explanation:

Step1: Calculate the number of students who chose each subject

  • For math: \(40\%\) of \(250\) students.

\(40\%=\frac{40}{100} = 0.4\), so the number of students who chose math is \(0.4\times250\).

Step2: Calculate the number of students who chose science

  • For science: \(22\%\) of \(250\) students.

\(22\%=\frac{22}{100}=0.22\), so the number of students who chose science is \(0.22\times250\).

Step3: Calculate the number of students who chose history

  • For history: \(18\%\) of \(250\) students.

\(18\%=\frac{18}{100} = 0.18\), so the number of students who chose history is \(0.18\times250\).

Step4: Sum up the number of students for each subject

  • Total number of students who chose math, science, and history is \((0.4 + 0.22+0.18)\times250\).

Since \(0.4+0.22 + 0.18=0.8\), then \(0.8\times250\).

Answer:

\(200\)