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

Answer:

Part A: 204 pages

Part B: 232 pages. 28 pages more.

Step-by-step explanation:

Eliza reads of her book on Monday by $\frac{r}{7}$ 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. $\frac{r}{7} \times 3 = \frac{3r}{7}$ pages.

So, combining Monday, Tuesday and Wednesday she reads $(\frac{r}{7} + \frac{3r}{7}) = \frac{4r}{7}$ number of pages.

Part A: If Eliza's book has a total of 357 pages then combining Monday, Tuesday and Wednesday she reads $\frac{4 \times 357}{7} = 204$ 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  $\frac{4 \times 406}{7} = 232$ pages.

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