Latisha will take the lead after 11 nights.
Latisha :
is on page 30.
She reads 3 pages per night.(n)
Number of pages read by Latiisha: 30+3n
Salis:
is on page 40
Reads 2 pages per night.
Number of pages read by Salis: 40+2n
We have to write an inequality.
Latisha > Salis
30+3n > 40+2n
Where n is the number of nights.
Solving for n:
30+3n > 40+2n
3n-2n >40-30
n>10
n must be higher than 10, = 11
Latisha will take the lead after 11 nights.