Question

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?

Answer 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

$x$

So ;

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

_________________________________

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

So :

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

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

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

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Compare :

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

Thus :

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️