To find out how many slices each person cut their cake into, we can use the information provided about how much of their cake each person served and how many slices they served.
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Luke served 4 slices, which is 2/3 of his cake. To find how many slices Luke cut his cake into, we can set up the equation:
\[ \text{Total slices} = \frac{4 \text{ slices}}{\frac{2}{3}} = 4 \times \frac{3}{2} = 6 \text{ slices} \]
So, Luke cut his cake into 6 slices.
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Kira served 6 slices, which is also 2/3 of her cake. Using similar reasoning:
\[ \text{Total slices} = \frac{6 \text{ slices}}{\frac{2}{3}} = 6 \times \frac{3}{2} = 9 \text{ slices} \]
So, Kira cut her cake into 9 slices.
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Ali served 8 slices, again 2/3 of her cake. Following the same method:
\[ \text{Total slices} = \frac{8 \text{ slices}}{\frac{2}{3}} = 8 \times \frac{3}{2} = 12 \text{ slices} \]
So, Ali cut her cake into 12 slices.
Putting it all together:
- Luke cut his cake into 6 slices.
- Kira cut her cake into 9 slices.
- Ali cut her cake into 12 slices.
Thus, the completed solution is:
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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