Chris read 312 pages of a book at first.he read the remaining pages in 20 days,w/ de same number of pages each day.during these 20 days,he read one-twelveth(1over12) of de book in 6days.how many pages of de book did he read in de 6days? Help me..
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Chris read 312 pages of a book at first. He read the remaining pages in 20 days, with the same number of pages each day. During these 20 days,he read one-twelveth(1over12) of the book in 6days. How many pages of the book did he read in those 6 days? Help me..
Let the total number of pages be x + 312.
So the number of pages left to be read in the 20 days is x
number of pages read per day = x/20
In 6 days he read (1/12) of the book
6(x/20) = (1/12)(x+312)
cross-multiply
72x = 20x + 6240
52x = 6240
x = 120
so each of the 20 days he read 120/20 or 6 pages.
so in 6 days he read 36 pages
Check:
total number of pages = 312+x = 432
he read 312 , leaving 120 pages to read in 20 days.
daily number of pages = 120/20 = 6 pages
so in 6 days he reads 36 pages
Is 36 equal to (1/2)(432) ? YES!
All is good.
Thxxxxx sooo much this helped me soo much
Let's break down the information provided:
1. Chris read 312 pages of a book at first.
2. He read the remaining pages in 20 days, with the same number of pages each day.
3. During these 20 days, he read one-twelfth (1/12) of the book in 6 days.
To find out how many pages of the book Chris read in the 6 days, we need to calculate the total number of pages he read during those 6 days.
To do this, we'll first calculate the total number of pages in the book.
Since Chris read 312 pages at first and the remaining pages were read in 20 days, we can calculate the total number of pages using the equation:
Total number of pages = 312 + (number of pages read each day x 20)
Now, we know that Chris read one-twelfth (1/12) of the book in 6 days. Let's represent the number of pages read each day as "x." So, the equation becomes:
(1/12) x Total number of pages = x x 6
Simplifying the equation, we have:
Total number of pages = x x 72
Now, we can substitute the expression for the total number of pages into the equation we derived earlier:
x x 72 = 312 + 20x
Simplifying further, we have:
72x = 312 + 20x
Subtracting 20x from both sides, we get:
52x = 312
Dividing both sides of the equation by 52, we find:
x = 312/52
Simplifying, we have:
x = 6
Therefore, we have determined that Chris read 6 pages each day during the 20 days.
Finally, to find out how many pages Chris read in the 6 days, we multiply 6 (number of pages read each day) by 6 (number of days):
6 x 6 = 36
Therefore, Chris read 36 pages of the book in the 6 days.
So, Chris read 36 pages of the book in the 6 days.
To find the number of pages Chris read in the 6 days, let's break down the problem step by step.
First, we know that Chris initially read 312 pages. Let's denote the total number of pages in the book as "T".
After reading the initial 312 pages, Chris now needs to read the remaining pages of the book in 20 days, with the same number of pages each day.
Let's calculate the number of pages Chris reads every day during these 20 days. We can do this by subtracting the initial 312 pages from the total number of pages in the book and dividing it by 20:
Pages per day = (T - 312) / 20
We are also given that during these 20 days, Chris read one-twelfth (1/12) of the book in 6 days.
Now, let's calculate the number of pages Chris read in 6 days. We can do this by multiplying the pages per day by 6:
Pages read in 6 days = (Pages per day) × 6 = ((T - 312) / 20) × 6
Since we are given that the pages he read in 6 days is one-twelfth (1/12) of the book, we can equate this with the equation we derived:
((T - 312) / 20) × 6 = (1/12)T
Now, let's solve for T, the total number of pages in the book:
((T - 312) / 20) × 6 = (1/12)T
Multiply both sides of the equation by 12 to eliminate the fraction:
6(T - 312) = T
Distribute 6:
6T - 1872 = T
Subtract T from both sides:
5T - 1872 = 0
Move -1872 to the other side:
5T = 1872
Divide both sides by 5:
T = 1872 / 5 = 374.4
The total number of pages in the book is 374.4.
Now, let's calculate the number of pages Chris read in the 6 days using this value of T:
Pages read in 6 days = ((T - 312) / 20) × 6
= ((374.4 - 312) / 20) × 6
= (62.4 / 20) × 6
= 3.12 × 6
= 18.72
Therefore, Chris read approximately 18.72 pages of the book in the 6 days.