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Solomon has read 1/3 of his book. He finishes the book by reading the same amount each night for 5 nights.

A- What fraction of the book does he read each of the 5 nights?


B- If he reads 14 pages in each of the 5 nights, how long is the book?


Pleeeeese help. Thanks

Verified Answer :

Answer:

A - Solomon read \(\frac{2}{15}\) 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 \(\frac{1}{3}\) of a book.

So, \(1-\frac{1}{3}=\frac{2}{3}\) of the book is left to be read.

Ques A: We have that,

In 5 nights, Solomon read \(\frac{2}{3}\) of the book.

So, on 1 night, he will read, \(\frac{2}{3}\times \frac{1}{5}\) = \(\frac{2}{15}\) of the book.

Thus, Solomon read \(\frac{2}{15}\) 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 \(\frac{2}{3}\) of the book, he read in 5 nights.

So, \(\frac{2}{3}\) of the total pages = 70

i.e. \(\frac{2}{3}x=70\)

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

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