Question

Reemu reads 1⁄5 pages of a book. If she reads further 40 pages, she would have read 7 pages
of the book. How many pages are left to be read? Justify/Check and validate your answer.

Answer 1

Step-by-step explanation:

From the question it is given that,

Reemu read (1/5)th pages of a book.

Let us assume the total number of pages in the book be ‘P’.

Then, number of pages read by Reemu = (1/5) of P = (1/5) × P

And also it is given the question, If she reads further 40 pages, she would have read (7/10)th pages of the book.

= (7/10) × P So, ((1/5) × P) + 40 = (7/10) × P (P + 200)/5 = (7P/10)

By cross mutliplication we get,

2P + 400 = 7P

5P = 400

P = 400/5 … [divide both numerator and denominator by 5]

P = 80

Then, pages read by Reema = Total pages – Pages read P – (7P/10) = (3P/10) (3/10) × 80 24 pages

Therefore, 24 pages are left to be read.

Answer 2

Given (correcting some data):

Reemu reads 1/5 pages of a book.

If she reads further 40 pages, she would have read 7/10 pages of the book.

To find:

How many pages are left to be read?

Step-by-step explanation:

Let us consider that the book has x number of pages.

Then Reemu has read x/5 pages so far.

According to the question,

x/5 + 40 = 7x/10

⇒ 7x/10 - x/5 = 40

⇒ (7x - 2x)/10 = 40

⇒ 5x = 400

⇒ x = 80

The book has 80 pages.

Reemu has read 80/5 = 16 pages.

Then the number of pages left = 80 - 16 = 64.

Final Answer:

64 pages are left to be read.

Verification of the answer:

• The book has a total of 80 pages.

• Reemu read 1/5 of the book. So she has read 80/5 = 16 pages.

• If Reemu reads 40 more pages, then she would read (16 + 40) = 56 pages.

• Now 56 pages = 56/80 = 7/10 of the book.

So our answer is correct and verified in this check step.