Question

You have 54 hockey cards, 72 baseball cards, and 63 basketball cards and you want to put them in a binder. Each page of the binder should have cards from a single sport, and there should be the same number of cards on each page. What is the greatest number of cards you can put on a page? How many pages will you need for each sport?

Answer 1

Answer:

we are going to divide them by 6.

54÷6=9

72÷6=12

63÷6=10 then the remaining 3 are going to be in one page.

so,9+12+10+1=32.

so 6 is the greatest number of cards you can put in a page and pages we need are 32.

I think it can help you.

Answer 2

Answer:

Step-by-step explanation:

The greatest number of cards that can be put on the page is thus HCF of the number of cards of all the 3 types.

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

63 = 3 × 3 × 7

HCF(54,72,63) = 9

The greatest number of cards that can be put on the page is 9.

There are total 189 cards.

So, number of pages required = total number of cards ÷ maximum number cards that can be put on the page

So, number of pages required = 189/9

Number of pages = 21

Therefore, 21 pages will be required for each sport.