Respuesta :
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:
[tex]P=630+\frac{1}{7}d[/tex]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:
[tex]630+\frac{1}{7}d=1049[/tex]Solve the equation to find (d):
[tex]\begin{gathered} \frac{1}{7}d=1049-630 \\ \frac{1}{7}d=419 \\ d=419\cdot7 \\ d=2933 \end{gathered}[/tex]So, the answer will be he will take a number of days = 2933 days
