Eliza reads \large \frac{1}{7} of her book on Monday. On Tuesday and Wednesday combined, she reads three times as much as she reads on Monday. The expression \large \frac{1}{7}r+3\left(\frac{1}{7}r\right)can be used to determine the nubmer of pages Eliza reads on Monday, Tuesday, and Wednesday combined. The variable r represents the total number of pages in the book.

Respuesta :

Answer:

Eliza reads a total of 204 pages in the three days combined.

Step-by-step explanation:

From the given information, we are being told that:

Eliza reads [tex]\dfrac{1}{7}[/tex] of her book on Monday.

On Tuesday and Wednesday combined, she reads thrice as much as she read on Monday.

Let assume that; Tuesday = T and Wednesday = W

Then;

[tex]T + w = 3 ( \dfrac{1}{7})[/tex]

The expression to determine the total number of pages is given as:

[tex]\large \dfrac{1}{7}r+3\left(\dfrac{1}{7}r\right)[/tex]

where;

r = total number of pages in the book.

Assuming that Eliza book contains a total of 357 pages. How many pages does she read in the three days combined together.

i.e.

r = 357

Then;

[tex]\implies \large \dfrac{1}{7}(357)+3\left(\dfrac{1}{7}(357)\right)[/tex]

[tex]\implies 51+3(51))[/tex]

[tex]\implies 51+153[/tex]

= 204 pages

Thus, Eliza reads a total of 204 pages in the three days combined.