MTTC 103 Elementary Practice

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Kim and Chris are writing a book together. Kim writes twice as many pages as Chris, totaling 240 pages. Which equation represents how many pages Chris writes?

2 + 2p = 240

p + 2p = 240

The correct answer is represented by the equation where Kim writes twice as many pages as Chris, and the total number of pages they write together is 240. In this case, let’s define the variable p to represent the number of pages Chris writes.

Since Kim writes twice as many pages as Chris, we can express the number of pages Kim writes as 2p. Therefore, the total pages written by both Kim and Chris can be expressed as the sum of Chris's pages and Kim's pages: p (for Chris) plus 2p (for Kim). This leads to the equation:

p + 2p = 240.

This equation correctly captures the relationship between the pages written by Kim and Chris and their total output. The left side simplifies to 3p, indicating that when we add Chris's pages to Kim's pages, we account for all pages written, equating them to the total of 240.

The other choices do not accurately reflect this relationship. For example, some choices do not properly establish the connection between Chris's pages and Kim's pages or misrepresent the total. The chosen equation succinctly and correctly summarizes the situation that Kim writes twice what Chris writes, and that together they wrote 240 pages.

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2p - p = 240

p - 2p = 240

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