Luke cut his cake into 6 slices, Kira cut her cake into 9 slices, and Ali cut her cake into 12 slices.
Given information:
Luke, Kira, and Ali each served 2/3 of their own cake.
Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices.
For Luke:
4 slices are equivalent to 2/3 of his own cake. So, the whole cake of him will contain,
[tex]\dfrac{4}{2/3}=6\rm\; slices[/tex]
For Kira:
6 slices are equivalent to 2/3 of her own cake. So, the whole cake of her will contain,
[tex]\dfrac{6}{2/3}=9\rm\; slices[/tex]
For Ali:
8 slices are equivalent to 2/3 of her own cake. So, the whole cake of her will contain,
[tex]\dfrac{8}{2/3}=12\rm\; slices[/tex]
Therefore, Luke cut his cake into 6 slices, Kira cut her cake into 9 slices, and Ali cut her cake into 12 slices.
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https://brainly.com/question/10708469
