Question

Baseball cards come in packages of 8 and 12. Brighton bought some of each type for a total of 72 baseball cards, how many of each package did he buy?

Answer 1

OK then he could've bought either 6 packages of 12, or 4 packages of 12 and 3 of 8....

Answer 2

Either of;

3 Baseball cards come in packages of 8 and 4 Baseball cards come in packages of 12

or

He bought 6 Baseball cards come in packages of 8 and 2 Baseball cards come in packages of 12.

Explanation:

On the condition that he bought some of each type for a total of 72 baseball cards, then the numbers bought must be factors of 72. To start, the lowest common multiple of 8 and 12 is 24. 24 divided by 8 and 12 gives 3 and 2 respectively. 24 out of 72 leaves a remainder of 48. 48 divided by 8 and 12 gives 6 and 4 respectively.

As such, if Brighton bought some of each type for a total of 72 baseball cards then he either bought 3 Baseball cards come in packages of 8 and 4 Baseball cards come in packages of 12 or he bought 6 Baseball cards come in packages of 8 and 2 Baseball cards come in packages of 12.