Jack Has 100 Football Cards To Put In A Photo

Jack Has 100 Football Cards That He Wants To Put In a Photo Album Eac

Jack has 100 football cards that he wants to put in a photo album. Each page in the album will hold eight cards. The questions are: how many pages in the album will have cards on them? Using the same information, how many pages will Jack completely fill with his cards? Jack spent $100 on eight packs of cards. How much did each pack cost? Compare the three problems that you completed. How are they the same? How are they different?

Paper For Above instruction

Jack has 100 football cards that he wants to organize and store in a photo album. Each page of the album can hold eight cards. To determine how many pages will contain cards, we need to divide the total number of cards by the number of cards each page holds. Specifically, dividing 100 by 8 gives us 12.5. Since we cannot have half a page in real life, the number of pages with cards will be the ceiling of this value, meaning 13 pages will have cards on them. This accounts for the last page, which will have fewer than eight cards.

In terms of completely filled pages, we look at how many pages can be filled entirely with eight cards. We do this by dividing 100 by 8, which again results in 12 full pages with 8 cards each, totaling 96 cards. Since there are 4 remaining cards (100-96), these will occupy a partially filled 13th page. Therefore, Jack will fully fill 12 pages and have one page partially filled.

Regarding the cost of the cards, Jack spent a total of $100 on eight packs. To find out the cost per pack, we divide the total amount spent by the number of packs: $100 / 8 packs = $12.50 per pack. This means each pack costs $12.50.

Comparing the three problems, they all involve division to find smaller parts of a whole. The first problem involves dividing total cards by the number of cards per page to find the number of pages needed. The second problem also involves division to determine how many pages are fully filled versus partially filled. The third problem involves dividing total cost by number of packs to find the price per pack. All three require understanding how to partition a total into equal parts.

However, they differ in context and application. The first two are related to organizing physical items (cards and pages), focusing on allocation and quantities. The third is about calculating unit cost, focusing on financial division. Additionally, the first problem involves rounding up to account for a partially filled page, whereas the second focuses on separating fully filled and partially filled pages. The third problem involves straightforward division without the need for rounding because of monetary units.

References

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