Answer:
The whole slices of Luke,kira and Ali are 6, 9 and 12. So it is possible.
Step-by-step explanation:
Given:
Luke,kira and ali each served 2 thirds of their own cake. Each cake was the same size, but luke served 4 slices, kira served 6 slices, and Ali served 8 slices.
Now, to find how is this possible.
Let the whole slices of cake be
Luke served of his cake which are 4 slices.
So, the whole slices of cake of Luke is:
Multiplying both sides by 3 we get:
Dividing both sides by 2 we get:
Thus, whole slices of Luke's cake is 6.
Kira served of her cake which are 6 slices.
So, the whole slices of Kira's cake is:
Multiplying both sides by 3 we get:
Dividing both sides by 2 we get:
.
Therefore, whole slices of KIra's cake is 9.
Now, Ali served of her cake which are 8 slices.
So, the whole slices of Ali's cake is:
Multiplying both sides by 3 we get:
Dividing both sides by 2 we get:
Hence, whole slices of Ali's cake is 12.
<u><em>Now, as it is the whole slices of Luke,kira and Ali are 6, 9 and 12.</em></u>
<u><em>Thus, it is possible.</em></u>
Therefore, the whole slices of Luke,kira and Ali are 6, 9 and 12. So it is possible.