Louis wants to read a 230 page book on the first day. He reads 21 pages. He would like to finish the book and 14 days if he reads equal amounts the rest of the week how many pages should he read in those 14 days right and solve an equation of the form. px+q=r
Then write a sentence to explain your answer
To find the number of pages Louis should read in the next 14 days, first we need to determine how many pages are left to be read after the first day.
Since Louis wants to read a 230-page book in 14 days, and he reads 21 pages on the first day, the number of pages left to be read is 230 - 21 = 209 pages.
Since Louis wants to read equal amounts of pages for the next 14 days, we can set up the equation px + q = r, where p represents the number of pages Louis reads each day (the constant amount he reads each day), x represents the number of days left after the first day (14 - 1 = 13), q represents the number of pages he reads on the first day (21), and r represents the total number of pages left to be read (209).
Plugging in these values into the equation, we have 13p + 21 = 209.
To solve for p, we need to isolate it on one side of the equation.
Subtracting 21 from both sides of the equation, we have 13p = 188.
Then, dividing both sides of the equation by 13, we find that p = 188/13 = 14.46 (rounded to two decimal places).
Therefore, Louis should read approximately 14.46 pages each day for the next 14 days to finish reading his book.
In summary, Louis should read approximately 14.46 pages each day for the next 14 days to finish reading the book. This can be represented by the equation 13p + 21 = 209, where p is the number of pages Louis reads each day.