The unit rate you're trying to find is pages per day(or p/d), so the equation needs to have both a unit for pages and for days.
The equation we have is:
[tex]5,249 = 29d[/tex]
If they read 5,249 pages, then we can include the unit for pages in the equation.
Since we also know that d is the number of days it took, you can replace d with days.
The equation becomes:
[tex]5,249\ pages=29*(x\days)[/tex]
Now that we have one variable, we can solve for p/d:
[tex] \frac{5,249\ pages}{29}=x\ days\\\\181 = x[/tex]
Thus it took them 181 days to read it all.
If Johnny read 5,249 pages over 181 days and the unit rate is pages per day(p/d), then the equation for finding p/d is:
[tex] \frac{p\ pages}{d\ days}=\frac{5,249\ pages}{181\ days}=\frac{29\ pages}{1\ day}\\\\29\ \frac{pages}{day}[/tex]
Johnny read 29 pages per day.
