How many packages of cups and plates for a party?

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The problem states "cups are sold $6$ to a package and plates are sold $8$ to a package. If you want to have the same number of each item for the party, what is the least number of packages of each you need to buy?"

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$X$ is a multiple of $6$. This means that you need $X$ cups. $X$ divided by $6$ equals $4$, so you need $4$ packages of cups.

$X$ is a multiple of $8$. This means that you need $X$ plates. $X$ divided by $8$ equals $3$, so you need $3$ packages of plates.