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Three classes have the same number of students. The teachers compared attendance on one Friday. Mr. Lopez had 92.5% of his students in the class. Mrs. Foster had 19/20 of her students in the class. In Ms. Kelly’s class, 0.9 of the students were present. Which teacher had the most students in the class that Friday?

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hnori22003

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Suppose the number of students in one of the classes is :

[tex]x[/tex]

So ;

[tex]Mr.Lopez \: \: had \: \: \frac{92.5}{100}x \\ [/tex]

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[tex]Mrs.Foster \: \: had \: \: \frac{19}{20} x \\ [/tex]

So :

[tex]Mrs.Foster \: \: had \: \: \frac{19 \times 5}{20 \times 5} x \\ [/tex]

[tex]Mrs.Foster \: \: had \: \: \frac{95}{100}x \\ [/tex]

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[tex]Ms.Kelly \: \: had \: \: 0.9x[/tex]

[tex]Ms.Kelly \: \: had \: \: \frac{9}{10} x \\ [/tex]

[tex]Ms.Kelly \: \: had \: \: \frac{90}{100} x \\ [/tex]

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Compare :

[tex] \frac{95}{100} x > \frac{92.5}{100} x > \frac{90}{100} x \\ [/tex]

Thus :

[tex]Mrs.Foster’s \: \: class \: > \: Mr.Lopez’s \: \: class \: > \: Ms.Kelly’s \: \: class \\ [/tex]

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