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

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

Explanation:

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

You know that Luke, Kira and Ali each served
`(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
`(2)/(3)` of his cake, which are 4 slices, the whole slices of cake of Luke is:

`(2)/(3)*x=4 slices`

Solving:

x= 4 ÷
`(2)/(3)`

x= 6

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

Performing the same approach for Kira you get:

`(2)/(3)*x=6 slices`

x= 6 ÷
`(2)/(3)`

x= 9

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

Finally, performing the same approach for Ali you get:

`(2)/(3)*x=8 slices`

x= 8 ÷
`(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.