Question

A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,512 from popcorn sales and $1,584 from nacho sales. If on the next night the employees sell $1,848 of popcorn, how much is earned from nachos?

Answer 1

Using proportions, it is found that $1,225 is earned from nachos.

This question is solved by proportions, using a rule of three.

The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.

When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?

The rule of three is:

$1,540 - $1,330

$1,672 - $x

Applying line multiplication:

$1,225 is earned from nachos.