It takes 40 ink cartridges and 200 pages to print a book, and it takes 30 ink cartridges and 80 pages to print a magazine.

Sarah wants to print books and magazines with at most 300 ink cartridges and 1200 pages. Let B denote the number of books she prints and M the number of magazines she prints.

Write an inequality that represents the condition based on the number of ink cartridges.

Write an inequality that represents the condition based on the number of pages.

Question

Shiloh Parker

Mathematics

11 November, 12:01

It takes 40 ink cartridges and 200 pages to print a book, and it takes 30 ink cartridges and 80 pages to print a magazine.

Sarah wants to print books and magazines with at most 300 ink cartridges and 1200 pages. Let B denote the number of books she prints and M the number of magazines she prints.

Write an inequality that represents the condition based on the number of ink cartridges.

Write an inequality that represents the condition based on the number of pages.

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Answers (1)

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Elisha Prince · Answer 1

It takes 40 cartridges per book (B) and 30 cartridges per magazine (M) and Sarah wants to use at most 300 cartridges.

... 40B + 30M ≤ 300

It takes 200 pages to print a book and 80 pages to print a magazine and Sarah wants to use at most 1200 pages.

... 200B + 80M ≤ 1200