Question

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

Answer 1

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.