Question

Shawn is making bookmarks. He has 63 orange stickers and 99 blue stickers to put on the bookmarks. Each bookmark will have the same number of orange stickers and the same number of blue stickers. He will use all the stickers. What is the greatest number of bookmarks Shawn can make with both blue and orange stickers on each?

a) 21 bookmarks
b) 9 bookmarks
c) 3 bookmarks
d) 7 bookmarks

Answer 1

Shawn can make the greatest number of bookmarks by distributing his orange and blue stickers evenly. Finding the greatest common divisor (GCD) of 63 and 99, which is 9, indicates that he can make 9 bookmarks with both colors.

Step-by-step explanation:

The subject of this question is mathematics, and more precisely, it involves factors and division. Shawn can make the greatest number of bookmarks with both blue and orange stickers on each by using all the stickers without any leftovers. We need to find the greatest common divisor (GCD) of the two numbers of stickers he has: 63 orange stickers and 99 blue stickers. After calculating the GCD, which is 9, we divide the number of each color of stickers by 9 to determine how many bookmarks he can make. Therefore, the greatest number of bookmarks Shawn can make with both blue and orange stickers on each is 9 bookmarks (Option b).