• Jesse:
Reads 30 pages per day
• Amir
Reads 35 pages per day
So, for Amir, the number of days will be x, and y will be the number of pages read in total:
y = 35x
Since he reads 35 pages per day = 35x
For Jesse, since she already started on Saturday, she has a 1-day advantage.
Days = (1+x)
y = 30 (1+x)
Equal both equations:
35x=30(1+x)
Solve for x (days to catch up)
35x= 30(1)+ 30(x)
35x= 30+30x
35x-30x=30
5x=30
x=30/5
x= 6 days
It will take Amir 6 days to catch up.
To obtain the number of pages, replace x by 6 on any equation:
Amir = y = 35 x = 35 (6)= 210 pages