Question

at the factory, a baseball card is placed in every 9th package of cereal. A football card is placed in every 25th packge of the cereal. what is the first package that gets both a baseball card and a football card?at exactly

Answer 1

Answer: 225th package

Step-by-step explanation:

look for the first number where both 25 and 9 are a factor of.

25*1 is 25 which isn't a factor of 9, so it won't be 25.

25*2 is 50, which isn't a factor of 9.

75 is not a factor of 9. (you know because you don't get a whole number when you divide 75 into 9.)

100 is not a factor of 9, nor is 125, 150, 175, or 200.

However, 225 is a factor of both 25 and 9. This makes sense because 25*9 is 225.

This means that the first package with both will be the 225th package.