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At the factory a baseball card is places in every 9th cereal package a football card is placed in every 25th package what is the first package that gets both the baseball and football card

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To figure out this question, 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.

The first package that gets both the baseball and football card is the 225th package.

In order to solve the question, we need to know the multiples of 9 and 25 and the common multiple is the solution. This will be:

9 = 9, 18, 27, 36, 45, .... 225

25 = 25, 50, 75, 100, 125, 150.... 225

Therefore, from the above it can be seen that the first package that gets both the baseball and football card is the 225th package.

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