Mary read a 84-page book in 6 days. If she continues reading at that rate, how long will it take her to read a 700-page book?
To find the number of pages Mary can read per day, divide the number of pages in the book by the number of days it took her to read it: 84 pages / 6 days = <<84/6=14>>14 pages/day
To find the number of days it will take Mary to read the larger book, divide the number of pages in the book by the number of pages she can read per day: 700 pages / 14 pages/day = <<700/14=50>>50 days. Answer: \boxed{50}.
To find out how long it will take Mary to read a 700-page book, we can set up a proportion using the given information.
Let's denote the number of days it takes for Mary to read a 700-page book as "x".
We know that Mary read an 84-page book in 6 days, which can be written as:
84 pages / 6 days = 700 pages / x days
To find x, we can cross-multiply:
84 * x = 6 * 700
Multiplying both sides gives:
84x = 4200
Dividing both sides by 84:
x = 4200 / 84
Simplifying gives:
x = 50
Therefore, it will take Mary 50 days to read a 700-page book if she continues reading at the same rate.
To find out how long it will take Mary to read a 700-page book at the same rate, we can set up a proportion based on the number of pages read and the number of days taken.
First, we find the ratio of pages read to the days taken for the 84-page book:
84 pages / 6 days = 14 pages per day
Next, we set up the proportion using this rate:
14 pages per day = 700 pages / x days
We want to find the value of x, which represents the number of days it will take Mary to read a 700-page book.
To solve the proportion, we can cross-multiply:
14 * x = 700
Then, divide both sides of the equation by 14 to solve for x:
x = 700 / 14
Calculating this division, we find that x = 50.
So, it will take Mary approximately 50 days to read a 700-page book at the same rate of reading 14 pages per day.