Three classes have the same number of students. The teachers compared attendance on one Friday. Mr. Lopez had 92.5% of his stude

Question

3 years ago

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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 stude

nts 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?

Mathematics

1 answer:

Sunny_sXe [5.5K] · Answer 1 · 2022-03-30T15:11:24+03:00

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

$x$

So ;

$Mr.Lopez \: \: had \: \: \frac{92.5}{100}x \\$

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$Mrs.Foster \: \: had \: \: \frac{19}{20} x \\$

So :

$Mrs.Foster \: \: had \: \: \frac{19 \times 5}{20 \times 5} x \\$

$Mrs.Foster \: \: had \: \: \frac{95}{100}x \\$

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$Ms.Kelly \: \: had \: \: 0.9x$

$Ms.Kelly \: \: had \: \: \frac{9}{10} x \\$

$Ms.Kelly \: \: had \: \: \frac{90}{100} x \\$

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Compare :

$\frac{95}{100} x > \frac{92.5}{100} x > \frac{90}{100} x \\$

Thus :

$Mrs.Foster’s \: \: class \: > \: Mr.Lopez’s \: \: class \: > \: Ms.Kelly’s \: \: class \\$

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