Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.Use the drop-down menus to complete the statements below about the number of bags Lucia can make. CLEARCHECKThe greatest number of bags Lucia can make is . Each of these bags will have markers and stickers.If she used more bags, .She could use bags, but this is not the greatest number she could use.
Question
Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.Use the drop-down menus to complete the statements below about the number of bags Lucia can make. CLEARCHECKThe greatest number of bags Lucia can make is . Each of these bags will have markers and stickers.If she used more bags, .She could use bags, but this is not the greatest number she could use.
Solution
The greatest number of bags Lucia can make is determined by the greatest common divisor (GCD) of the number of markers and stickers she has. The GCD of 48 and 64 is 16. So, Lucia can make 16 bags.
Each of these bags will have 48/16 = 3 markers and 64/16 = 4 stickers.
If she used more bags, she would not be able to distribute the markers and stickers equally among all the bags.
She could use fewer bags, such as 8 or 4, but this is not the greatest number she could use.
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