Angie read 3 books in 5 days, and each book contained 405 pages. If Angie read the same number of pages each day, how many pages did she read per day?

89
1,215
243
405

Question

Angie read 3 books in 5 days, and each book contained 405 pages. If Angie read the same number of pages each day, how many pages did she read per day?

    89
    1,215
    243
    405

ktbug3 · Answer

@Camthecam @hakunamatata34 @skullpatrol @kxttxn

phi · Answer

you want $ \frac{pages}{day}$
you are given  $ \frac{books}{day}$
Here is the idea:  multiply by $\frac{pages}{book}$
like this
$$ \frac{books}{day} \cdot \frac{pages}{book} $$
the "books" cancel, and we get
$$ \frac{\cancel{books}}{day} \cdot \frac{pages}{\cancel{book}}= \frac{pages}{day}$$

phi · Answer

So, first step, using
read 3 books in 5 days, 

can you write the fraction that stands for books per day ?

ktbug3 · Answer

3/5?

phi · Answer

yes
next, what is the fraction for pages per book ?

use
each book contained 405 pages.

ktbug3 · Answer

405/3

phi · Answer

almost,  it's 405/1   (that says 405 pages for 1 book)

ktbug3 · Answer

o ok

phi · Answer

now you do the multiplication
$$ \frac{3}{5} \cdot \frac{405}{1} $$
(though the 1 in the 2nd fraction is not usually written)

ktbug3 · Answer

1215/5

phi · Answer

I would first divide the 5 into 405
then multiply by 3

ktbug3 · Answer

243

phi · Answer

and if you write that as a fraction it would be
$$ \frac{243}{1} $$
and if we keep track of the labels it would be
$$ \frac{243 \ pages}{1 \ day} $$

phi · Answer

which can also be written as
243 pages per day

ktbug3 · Answer

is that the answer?

ktbug3 · Answer

thnx