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Mathematics 15 Online
OpenStudy (anonymous):

Hi I'm trying to do this question and I can't really seem to get a good answer by myself. Would love if someone could walk me through this question. A bookshelf is 24 inches wide. Algebra textbooks are 1.5 inches wide and workbooks are 0.5 inch wide. What inequality describes the number of algebra textbooks and workbooks that will fi t on the shelf? Graph the solution in the coordinate plane.

OpenStudy (mertsj):

How thick is a textbook and workbook together?

OpenStudy (anonymous):

It would be two inches put together.

OpenStudy (mertsj):

So would you agree that 1 textbook and 1 workbook would take up 2 inches and 2 textbooks and 2 workbooks would take up 2(2) inches and x textbooks and x workbooks would take up 2x inches?

OpenStudy (anonymous):

So it would be 12 textbooks and twelve workbooks put together that would equal 24 inches total on the book shelf. :) Would I put the inequality as 1.5x + 0.5y <= 24?

OpenStudy (mertsj):

yes.

OpenStudy (anonymous):

Awesome, thank you Mertsj!

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