during school holidays, Chris read 312 pages of a book at first.he read the remaining pages in 20days, w/ the same number of pages each day. during these 20days, he read one-twelve of the book in 6days.how many pages of the book did he read in the 6days?

in 6 days he read p/12

In the last 20 days, he read 20/6 * p/12 = 20p/72 = 5p/18
So, 312 = 13p/18; p = 432

starting with 432 pages, he read 312, leaving 120
During each of the 20 days, he read 6 pages
In 6 days he read 36 pages, which is 432/12

why is it 432 pages?

To find out how many pages Chris read in the 6 days, we need to break down the information given.

First, we know that Chris read 312 pages of the book at first.

Then, he read the remaining pages in 20 days, with the same number of pages each day.

During these 20 days, he read one-twelfth of the book in 6 days.

Let's calculate step by step:

To find out how many pages Chris read in the remaining 20 days, we need to subtract the initial 312 pages from the total number of pages in the book.

Total pages in the book = Pages read initially + Pages read in the remaining 20 days

Let's represent the total number of pages in the book as P.

P = 312 + Pages read in the remaining 20 days

We know that within these 20 days, Chris read one-twelfth (1/12) of the book in 6 days.

So, the number of pages Chris read in 6 days = (1/12) * P

Given that the number of pages read in 6 days is equal to one-twelfth of the book, we can equate these two values:

(1/12) * P = Pages read in 6 days

Now we can solve for P.

Multiply both sides by 12 to eliminate the fraction:

12 * (1/12) * P = 12 * Pages read in 6 days
P = 12 * Pages read in 6 days

Now we substitute the value of P into the initial equation:

12 * Pages read in 6 days = 312 + Pages read in the remaining 20 days

Since Chris read the same number of pages each day during the remaining 20 days, we can express the pages read in the remaining 20 days as:

Pages read in the remaining 20 days = Number of days * Pages read per day

We know that Chris read one-twelfth of the book in 6 days, meaning he read the same amount each day. So,

Pages read in the remaining 20 days = 20 * Pages read per day

Substituting this information into the equation:

12 * Pages read in 6 days = 312 + 20 * Pages read per day

Now, we can rearrange the equation and solve for Pages read in 6 days:

12 * Pages read in 6 days - 20 * Pages read per day = 312

Factor out Pages read in 6 days:

Pages read in 6 days * (12 - 20) = 312

-8 * Pages read in 6 days = 312

Divide both sides by -8:

Pages read in 6 days = 312 / -8

Pages read in 6 days = -39

The number of pages read in 6 days cannot be negative, so there might be a mistake in the information provided or in the calculations. Please double-check the given information to ensure accuracy.

SHEEPS AND CHICKENS 33 96 LEGS