Question

Gina's mother bought 200 lollipops and 200 pencils to make goodie bags for Gina's birthday. Gina is going to use all these lollipops and pencils for these bags. What is the greatest number of goodie bags that Gina can make with the same number of lollipops and pencils in each bag?

Answer 1

she can make 200 goodie bags with one pencil and one lollipop in each bag

Answer 2

The greatest number of goodie bags Gina can make with an equal number of lollipops and pencils in each bag is 200, based on the greatest common divisor of the quantities provided which is 200.

Step-by-step explanation:

In order to determine the greatest number of goodie bags that Gina can make with the same number of lollipops and pencils in each bag, we need to find the greatest common divisor (GCD) for the number of lollipops and pencils, which is 200 in this case.

The GCD of 200 lollipops and 200 pencils is 200, because 200 divided by 200 is 1. Therefore, Gina can make 200 goodie bags, each containing 1 lollipop and 1 pencil if she wishes to use all the lollipops and pencils with the same count in each bag.