Question

Eliza reads of her book on Monday. On Tuesday and Wednesday combined,

she reads three times as much as she reads on Monday. The expression
1/7r+3(1/7r)can be used to determine the number of pages Eliza reads on
Monday, Tuesday, and Wednesday combined. The variable r represents the total
umber of pages in the book.

Answer 1

Part A: 204 pages

Part B: 232 pages. 28 pages more.

Explanation:

Eliza reads of her book on Monday by
`(r)/(7)` pages, where r is the total number of pages in the book.

On Tuesday and Wednesday combined, she reads three times as much as she reads on Monday i.e.
`(r)/(7) * 3 = (3r)/(7)` pages.

So, combining Monday, Tuesday and Wednesday she reads
`((r)/(7) + (3r)/(7)) = (4r)/(7)` number of pages.

Part A: If Eliza's book has a total of 357 pages then combining Monday, Tuesday and Wednesday she reads
`(4 * 357)/(7) = 204` pages.

Part B: If Renee Reads the same fraction of a different book over the same period of time as Eliza, then if Renee's book has a total of 406 pages then combining Monday, Tuesday and Wednesday she reads a total of
`(4 * 406)/(7) = 232` pages.

She reads (232 - 204) = 28 more pages than Eliza. (Answer)