Answer:
a.) Total pages Lamar have to read the first day to meet his goal = 300
Total pages left to read after 3 days = 75
b.) Total pages he need to read on day 8 = 4.6875
Step-by-step explanation:
The exact question is as follows :
Given - Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goal to read half of the pages left in his book each day.
To find -
a) How many pages will Lamar have to read the first day to meet his goal?
How many will he have left to read after 3 days?
b) How many pages will he need to read on day 8?
Solution -
Given that,
Total number of pages = 600
Now,
In Day 1 ,
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (600)[/tex] = 300
i.e.
In Day 1 , he Finished 300 pages.
So,
At the end of Day 1, total pages left = 600 - 300 = 300
so,
Total pages Lamar have to read the first day to meet his goal = 300
Now,
For day 2 ,
Total pages = 300
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (300)[/tex] = 150
i.e.
In Day 2 , he Finished 150 pages.
So,
At the end of Day 2, total pages left = 300 - 150 = 150
Now,
For day 3 ,
Total pages = 150
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (150)[/tex] = 75
i.e.
In Day 3 , he Finished 75 pages.
So,
At the end of Day 3, total pages left = 150 - 75 = 75
So,
Total pages left to read after 3 days = 75
Now,
For day 4 ,
Total pages = 75
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (75)[/tex] = 37.5
i.e.
In Day 4 , he Finished 37.5 pages.
So,
At the end of Day 4, total pages left = 75 - 37.5 = 37.5
Now,
For day 5 ,
Total pages = 37.5
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (37.5)[/tex] = 18.75
i.e.
In Day 5 , he Finished 18.75 pages.
So,
At the end of Day 5, total pages left = 37.5 - 18.75 = 18.75
Now,
For day 6 ,
Total pages = 18.75
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (18.75)[/tex] = 9.375
i.e.
In Day 6 , he Finished 9.375 pages.
So,
At the end of Day 6, total pages left = 18.75 - 9.375 = 9.375
Now,
For day 7 ,
Total pages = 9.375
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (9.375)[/tex] = 4.6875
i.e.
In Day 7 , he Finished 4.6875 pages.
So,
At the end of Day 7, total pages left = 9.375 - 4.6875 = 4.6875
So,
At the starting of Day 8,
Total pages = 4.6875
So,
Total pages he need to read on day 8 = 4.6875
