Question

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.

Answer 1

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

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 =
`(1)/(2) (600)` = 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 =
`(1)/(2) (300)` = 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 =
`(1)/(2) (150)` = 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 =
`(1)/(2) (75)` = 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 =
`(1)/(2) (37.5)` = 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 =
`(1)/(2) (18.75)` = 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 =
`(1)/(2) (9.375)` = 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