Question

3/5 of Jill's 30-page photo album is full. She wants to set aside 1/4 of the pages that are left for photos of her vacation. How many pages can she fill before her vacation?

Answer 1

Answer:

9 pages she can fill before her vacation.

Step-by-step explanation:

Total pages in album = 30

Fraction of photo album pages which are is full =$\frac{3}{5}$

Photo album pages which are is full =$\frac{3}{5}\times 30 =18$

Fraction of photo album pages which are empty :x

$\frac{3}{5}+x=1$    (Sum of all fraction is 1)

$x=\frac{2}{5}$

Album pages which are empty =$30\times \frac{2}{5}=12$

Fraction of album set aside for vacation photos = $\frac{1}{4}$ of the photo album pages which are empty

Album pages which are kept for vacation photos:

=$\frac{1}{4}\times 12= 3$

Total empty pages left = 30 - 18 - 3 = 9

9 pages she can fill before her vacation.

Answer 2

3/5 of the album is full....leaving 2/5 pages that are not full. 2/5(30) = 60/5 = 12 pgs not full (12 remaining pages)
she wants to set aside 1/4 of the remaining pages...
1/4 of 12 = 1/4(12) = 12/4 = 3 pgs set aside for vacation

12 - 3 = 9 pgs...she can fill 9 pgs before the vacation