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Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read. Which equation can be used to determine the number of weeks, w, it will take raymond to have only 24 books left, and how many weeks will it take? A. 120 - 3w = 24; 32 weeks b. 24w - 3 = 120; 5 weeks c. 3w - 24 = 120; 48 weeks d. 24w = 120 - 3; 4 weeks

Respuesta :

We have been given that there are total 120 books on Raymond's bookshelf that he has not read. Further, we know that he plans on reading 3 books per week until there are only 24 unread books are left.

Let us say Raymond reads the books for w weeks. Since he reads 3 books per week, therefore, he would have read 3w books in w weeks.

Now that Raymond has read 3w books out of total 120 unread books, the remaining unread books can be found by subtracting 3w from 120 as shown below:

[tex]120-3w=24[/tex]

Now, in order to find the number of weeks, we will solve this linear equation for w.

[tex]3w=120-24=96[/tex]

[tex]w=\frac{96}{3}=32[/tex]

Therefore, the required equation is [tex]120-3w=24[/tex] and it will take Raymond 32 weeks before he has read enough books to have left with just 24 unread books.

Thus, the correct answer is option (A).

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