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Mitch collects sports cards. He has 16 baseball cards, 33 basketball cards, and 20 football cards. He places all of his sports cards in a large album. Each page of the album will hold 9 cards. Mitch completely fills a page with sports cards before filling the next page. He continues filling pages until he runs out of cards

A. How many pages does he need to hold his collection of sports cards?
B. How many sports cards will be on the last page?
C. If Mitch put all the same kinds of cards on pages, how many pages would he need for his baseball cards?

1 Answer

3 votes

Final answer:

Mitch requires 8 pages to hold his 69 sports cards with 6 cards on the last page. He needs 2 pages for his 16 baseball cards.

Step-by-step explanation:

Mitch has a total of 69 sports cards, calculated by adding 16 baseball cards, 33 basketball cards, and 20 football cards together. To determine how many pages he needs in his album, we divide the total number of cards by the number that can fit on a page.

  1. To find the number of pages needed, we perform the division: 69 cards ÷ 9 cards per page = 7 remainder 6. So Mitch will need 8 pages to hold his entire collection.
  2. The last page will have the remainder of the division, which is 6 sports cards.
  3. For his baseball cards alone, we divide 16 baseball cards by 9 cards per page, which gives us 1 full page and a remainder of 7, so he needs 2 pages solely for baseball cards.1
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