Answered

Get comprehensive answers to your questions with the help of IDNLearn.com's community. Ask anything and receive thorough, reliable answers from our community of experienced professionals.

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?

Sagot :

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

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.