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Ales read 1/3 of a book Monday. 28 pages Tuesday . still has 1/3 left to read. how many pages in book

2 Answers

12 votes

Answer:

there are 84 pages in the book.

Explanation:

let's call the pages in the book b.

1/3b + 1/3b + 28 = b

2/3b + 28 = b

subtract 2/3b from both sides of the equation

2/3b - 2/3b + 28 = b - 2/3b

28 = b - 2/3b

28 = b/3

multiply both sides of the equation by 3

28 * 3 = b/3 * 3

28 * 3 = b

84 = b

User Ashford
by
5.3k points
13 votes

Answer:

The book has 84 pages

Explanation:

Equations

Let's make:

x = number of pages of the book

Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:


\displaystyle (x)/(3)+28+(x)/(3)=x

Multiplying by 3:


x+84+x=3x

Simplifying:

x = 84

The book has 84 pages

User Atcold
by
4.5k points