Question

George is writing a book that will end up being 1049 pages long. George has already written 630pages, and typically writes one page a week.Make and solve an equation to figure out the days left (d) until George can announce that his book,The Breezes of Autumn, is finished.

Answer 1

Given:

George is writing a book that will end up being 1049 pages long.

George has already written 630 pages

He writes one page a week

We will write an equation to figure out the days left (d) until George can announce that his book

Let the number of pages = P

So, the relation between P and d will be as follows:

`P=630+(1)/(7)d`

The fraction (1/7) from the fact that the week = 7 days

So, one day = 1/7 week

We will find the number of days (d) to finish the book of a number of pages = 1049, So, we will substitute with P = 1049 and solve for (d)

So, the equation will be:

`630+(1)/(7)d=1049`

Solve the equation to find (d):

`\begin{gathered} (1)/(7)d=1049-630 \\ (1)/(7)d=419 \\ d=419\cdot7 \\ d=2933 \end{gathered}`

So, the answer will be he will take a number of days = 2933 days