A carnival game gives variety bags as prizes. The game operator uses 100 balloons and 68 stickers to put into a certain number of bags. How many balloons and how many stickers can go in each bag if they make the greatest number of bags possible so that each bag has the same number of balloons and the same number of stickers?(1 point)
Responses
17 balloons and 25 stickers
17 balloons and 25 stickers
25 balloons and 17 stickers
25 balloons and 17 stickers
50 balloons and 34 stickers
50 balloons and 34 stickers
4 balloons and 4 stickers
To find the maximum number of bags, we need to find the greatest common divisor (GCD) of the number of balloons and stickers. Once we find the GCD, we can divide both numbers by it to find the number of bags.
The GCD of 100 balloons and 68 stickers is 4.
Dividing both numbers by 4 gives us 25 balloons and 17 stickers per bag.
So the correct answer is:
25 balloons and 17 stickers