Laura Daugereau has 24 packages of dry dog food and 18 packages of meat that she will have her handler leave at checkpoints during Race to the Sky. What is the greatest number of checkpoints that will have food left at them if each checkpoint has the same number of packages of dry dog food and the same number of packages of meat with none left over? How many packages of dry dog food and how many packages of meat will be at each checkpoint?

Hi again LiLi;

dry dog food...24 packages

meat...18 packages

AS PER ARTHUR'S CORRECTION...

(6)(4)=24

(6)(3)=18

Because the common factor of 24 and 18 is 6, the assumption must be made that there are 6 checkpoints in Race to the Sky. Henceforth, 4 packages of dry and 3 packages of meat will be left at each checkpoint.

## Comments

at each checkpointthe number of dog food packages must be the sameandthe number of meat packages must be the same. This is a problem involving greatest common factor of 18 and 24, which is 6. There are 6 checkpoints and at each checkpoint there will be 24/6 or 4 dry dog food packages and 18/6 or 3 meat packages. Also notice the problem says "with none left over".