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Larry read a 400 -page book. He read at a rate of 10 pages per day for
d days.
Write an equation that could be used to find out how many days it took Larry to read the book.

Larry read a $400$ -page book. He read at a rate of $10$ pages per day for $d$ days. $\newline$ Write an equation that could be used to find out how many days it took Larry to read the book.

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Write linear functions: word problems

Full solution

Q. Larry read a

400

-page book. He read at a rate of

10

pages per day for

d

days.

\newline

Write an equation that could be used to find out how many days it took Larry to read the book.

Set Up Equation: Larry read a $400$ -page book at a rate of $10$ pages per day for $d$ days. To find out how many days it took Larry to read the book, we need to set up an equation that relates the total number of pages read to the number of days and the rate at which he reads.
Define Variables: Let's denote the total number of pages Larry read as $P$ , the rate at which he reads as $R$ pages per day, and the number of days he read as $d$ . We know that $P = 400$ pages and $R = 10$ pages/day. We want to find $d$ .
Substitute Values: The equation that relates these variables is $P = R \times d$ . We can substitute the known values into this equation to find $d$ .
Solve Equation: Substituting the known values, we get $400 = 10 \times d$ .
Divide Both Sides: To solve for $d$ , we divide both sides of the equation by $10$ . So, $d = \frac{400}{10}$ .
Final Result: Performing the division, we find that $d = 40$ .

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