Question

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?

Answer 1

Answer:

The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.

Step-by-step explanation:

It's possible because they cut cakes into different number of slices.

You know that Luke, Kira and Ali each served $\frac{2}{3}$ of their own cake and Luke served 4 slices, Kira served 6 slices and Ali served 8 slices.

Being x the whole slices of cake, and if Luke served $\frac{2}{3}$ of his cake, which are 4 slices, the whole slices of cake of Luke is:

$\frac{2}{3}*x=4 slices$

Solving:

x= 4 ÷$\frac{2}{3}$

x= 6

Then, whole slices of Luke's cake is 6.

Performing the same approach for Kira you get:

$\frac{2}{3}*x=6 slices$

x= 6 ÷$\frac{2}{3}$

x= 9

Then, whole slices of Kira's cake is 9.

Finally, performing the same approach for Ali you get:

$\frac{2}{3}*x=8 slices$

x= 8 ÷$\frac{2}{3}$

x= 12

Then, whole slices of Ali's cake is 12.

The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.