Question

a waitress fills bowls with soup. she puts 2/3 of a cup of soup in each bowl. how many bowls can she prepare with 40 cups of soup?

Answer 1

Data:
$\frac{2}{3}\:cup\:of\:soup\longrightarrow\:1\:(each\:bowl)$
$40\:cups\:of\:soup\longrightarrow\:?\:(each\:bowl)$

Solving: (They are proportional measures, the rule of three is made (directly proportional)

$\frac{ \frac{2}{3}}{40} = \frac{1}{y}$
multiply cross
$\frac{2}{3}*y = 40*1$
$\frac{2y}{3} = 40$
multiply cross
$2y = 3*40$
$2y = 120$
$y = \frac{120}{2}$
$\boxed{\boxed{y =60\:bowls}}\end{array}}\qquad\quad\checkmark$