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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 $1,540 from popcorn sales and $1,330 from nacho sales. If on the next night the employees sell $1,672 of popcorn, how much is earned from nachos?

Respuesta :

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:

[tex]1672x = 1540 \times 1330[/tex]

[tex]x = \frac{1540 \times 1330}{1672}[/tex]

[tex]x = 1225[/tex]

$1,225 is earned from nachos.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

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