Answer: There are 3 packages of cups and 2 packages of plates.
Step-by-step explanation:
Since we have given that
Number of cups they sold = 8
Number of plates they sold = 12
For the least number of packages possible that will give them the same number of cups and plates , we'll find L.C.M. of 8 and 12.
[tex]\text{L.C.M. of 8 and 12}= 24[/tex]
So,
Packages of cups they purchase is given by
[tex]\frac{24}{8}=3[/tex]
Packages of plates they purchase is given by
[tex]\frac{24}{12}=2[/tex]