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Claudia is reading a book that has 360 pages.She read some of the book last week.She plans to read 46 pages today.When she does,she will be 4/5 of the way through the book.How many pages did she read last week

Answer :

Answer:

242 pages.

Step-by-step explanation:

Let x represent number of pages that Claudia read last week.

We have been given that Claudia is reading a book that has 360 pages. She read some of the book last week. She plans to read 46 pages today. When she does,she will be 4/5 of the way through the book.

The number of total page left after reading 46 pages and x pages last week will be equal to 4/5 of 360.

We can represent this information in an equation as:

[tex]x+46=\frac{4}{5}\cdot 360[/tex]

Let us solve for x.

[tex]x+46=4\cdot 72[/tex]

[tex]x+46=288[/tex]

[tex]x+46-46=288-46[/tex]

[tex]x=242[/tex]

Therefore, Claudia read 242 pages last week.

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