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. How is this possible? Enter your answers in the boxes to complete the solution.

Luke cut his cake into how many slices?

Kira cut her cake into how many slices? and

Ali cut her cake into how many slices.

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,

For Kira:

6 slices are equivalent to 2/3 of her own cake. So, the whole cake of her will contain,

For Ali:

8 slices are equivalent to 2/3 of her own cake. So, the whole cake of her will contain,

Therefore, Luke cut his cake into 6 slices, Kira cut her cake into 9 slices, and Ali cut her cake into 12 slices.

For more details, refer to the link:

link

6; 9; 12

Step-by-step explanation:

It's possible because they cut cakes into different no. of slices

Luke: 2/3 of the cake are 4 slices

Entire cake 4/(2/3) = 4×3/2 = 6 slices

Kira: 2/3 of the cake are 6 slices

Entire cake 6/(2/3) = 6×3/2 = 9 slices

Ali: 2/3 of the cake are 8 slices

Entire cake 8/(2/3) = 8×3/2 = 12 slices