Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for a party, what is the least number of packages of cups you need to buy?

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Solution

The correct option is A 2
To find the least number of packages of each, we need to find the LCM of 5 and 10
Multiples of 5: 5, 10, 15, 20, 25
Multiples of 10: 10, 20, 30
LCM of 5 and 10 is 10.
Hence, you should buy 10 of each.

So, you need 2 packages of cups(5 x 2 = 10) and 1 package of plates (10 x 1 = 10).
Therefore, you should buy 2 packages of cups.

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