Question

Gabby has 5 weeks to read a novel. She reads 15 pages of a novel in 3/7 week. At this rate, will Gabby finish the 200-page book in time?

Answer 1

No, she will only be able to ready `175` pages.

Explanation:

`15` pages in `3/7` of a week. So Gabby reads `15/3` in `1/7` of a week, `5` pages in `1/7` of a week or 5 pages a day. So in `5` weeks there are `35` days. So `35 * 5 = 175` pages, Gabby does not finish the book.

Answer 2

Will Gabby finish in time `->No!`
It would take her `5 5/7` weeks

Explanation:

Using ratio in the format of a fraction.

`("count of weeks")/("pages read") -> (color(white)(.)3/7color(white)(.))/15`

But we need 200 weeks and `13 1/3xx15=200`
Note that `13 1/3 -> 40/3`

`color(green)(("count of weeks")/("pages read") -> (color(white)(.)3/7color(white)(.))/15" "=" " (color(white)(.)3/7color(white)(.))/15color(red)(xx color(white)(..)1))`

`" " =" "color(green)((color(white)(.)3/7color(white)(.))/15color(red)(xx(40/3)/(color(white)(.)40/3color(white)(.)) ))`

`("count of weeks")/("pages read")->(40/7)/200`

But `40/7 -= 5 5/7" weeks"`