tony read 3/8 of a book on tge first day and 2/ 5 of the remainder onthe second day . there are 48 pages still left . how many pages are there?
Answers
Answer:
213 pages
Step-by-step explanation:
We want to find the number of pages in the book.
Tony read 3/8 on the first day
He read 2/5 on the second day
First we find the portion of the book he read in the two days by adding-
We need to find the LCM of 8 and 5 because for addition we need the denominators to be same. LCM of 8 and 5 is 40. (LCM is Least Common Multiple)
We multiply the numerator and denominator of the first number by 5. We get 15/40.
We multiply the numerator and denominator of the second number by 8. We get 16/40.
Now we add the two numbers by adding the numerators and the denominator will remain unchanged. We get (15+16)/40
=31/40.
Now the remaining portion of the book is 40/40-31/40
= 9/40
We also know that the remaining number of pages is 48.
Let the total number of pages be x.
So, equation-
=> 9/40x = 48
=> 9x = 48*40
=> 9x = 1920
=> x = 1920/9
=> x = 213.33
We round 213.33 to 213 pages and we have the answer.
Hope this helped!