Respuesta :
Answer:
A - Solomon read [tex]\frac{2}{15}[/tex] of the book each night.
B - The total number of pages in the book are 105.
Step-by-step explanation:
We are given that,
Solomon has read [tex]\frac{1}{3}[/tex] of a book.
So, [tex]1-\frac{1}{3}=\frac{2}{3}[/tex] of the book is left to be read.
Ques A: We have that,
In 5 nights, Solomon read [tex]\frac{2}{3}[/tex] of the book.
So, on 1 night, he will read, [tex]\frac{2}{3}\times \frac{1}{5}[/tex] = [tex]\frac{2}{15}[/tex] of the book.
Thus, Solomon read [tex]\frac{2}{15}[/tex] of the book each night.
Ques B: Let the total pages of the book = x.
Solomon reads 14 pages in 1 night. So, he reads, 14 × 5 = 70 pages in 5 nights.
Since, these 70 pages represent the [tex]\frac{2}{3}[/tex] of the book, he read in 5 nights.
So, [tex]\frac{2}{3}[/tex] of the total pages = 70
i.e. [tex]\frac{2}{3}x=70[/tex]
i.e. x= 105
Hence, the total number of pages in the book are 105.
The fraction of the book he reads is 2/15.
Th number of pages of the book is 105.
What is a fraction?
A fraction is a non-integer. It consists of a numerator and a denominator. An example of a fraction is 2/5.
How many pages would he read in each of the 5 nights?
Pages that he has to read = 1 - 1/3 = 2/3
Pages he reads each of the five days = 2/3 ÷ 5 = 2/3 x 1/5 = 2/15
How long is the book?
2/3rd of the book = 14 x 5 = 70 pages
Number of pages of the book = 70 ÷ 2/3
= 70 x 3/2 = 105 pages
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
