Question

Andre and Elena are reading the same book over the 1 summer. Andre says he has read 1/5 of the book. Elena ! says she has read 20 more pages than Andre. If Elena is on page 55, how many pages are in the book? Lin has drawn a diagram to solve this question. Find her error..

Answer 1

The book has 175 pages

Step-by-step explanation:

Andre says that he has read 1/5 of the book, so the correct diagram should have each rectangle label as a (the number of pages that Andre has read)

because 5 times 1/5 of the book makes the complete book.

On the other side, Elena has read 20 more pages than Andre, so we should have the second rectangle divided and one part should be label as 20 and the sum of a and 20 is equal to 55.

So, the correct diagram is:

Therefore, we can calculate the number of pages that Andre has read as:

a = 55 - 20 = 35

Then, the number of pages of the book is 5 times a, so:

5 x a = 5 x 35 = 175

Therefore, the answer is the book has 175 pages