Troy has an album that holds 700 hockey cards. Each page of the album holds 7 hockey cards. If 72​% of the album is​ empty, how many pages are filled with hockey cards​?

Respuesta :

Answer:

28 pages

Step-by-step explanation:

First, we can find how many pages there are in Troy's album by using the information that:

  • his album holds 700 cards
  • each page holds 7 cards

# pages = [tex]\rm \dfrac{\# \ total \ card\ slots\ in\ album}{\# \ cards\ slots\ per\ page}[/tex]

# pages = 700 / 7

# pages = 100

So, Troy's album has 100 pages.

Next, we can find the percent of filled pages by subtracting the given percent of empty pages from 100%:

% filled = 100% − (% empty)

% filled = 100% − 72%

% filled = 28%

Finally, we can solve for how many pages in Troy's album are filled by multiplying the % empty by the total number of pages:

# filled pages = (% filled) × (# total card slots)

# filled pages = (28%) × (100 pages)

# filled pages = 28

So, Troy's album has 28 pages filled with cards.