Respuesta :
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 [tex]x.[/tex]
Luke served [tex]\frac{2}{3}[/tex] of his cake which are 4 slices.
So, the whole slices of cake of Luke is:
[tex]\frac{2}{3} \ of\ x=4[/tex]
[tex]\frac{2}{3} \times x=4[/tex]
Multiplying both sides by 3 we get:
[tex]2\times x=12[/tex]
Dividing both sides by 2 we get:
[tex]x=6.[/tex]
Thus, whole slices of Luke's cake is 6.
Kira served [tex]\frac{2}{3}[/tex] of her cake which are 6 slices.
So, the whole slices of Kira's cake is:
[tex]\frac{2}{3} \ of\ x=6[/tex]
[tex]\frac{2x}{3} =6[/tex]
Multiplying both sides by 3 we get:
[tex]2x=18[/tex]
Dividing both sides by 2 we get:
[tex]x=9[/tex].
Therefore, whole slices of KIra's cake is 9.
Now, Ali served [tex]\frac{2}{3}[/tex] of her cake which are 8 slices.
So, the whole slices of Ali's cake is:
[tex]\frac{2}{3} \ of\ x=8[/tex]
[tex]\frac{2x}{3} =8[/tex]
Multiplying both sides by 3 we get:
[tex]2x=24[/tex]
Dividing both sides by 2 we get:
[tex]x=12.[/tex]
Hence, whole slices of Ali's cake is 12.
Now, as it is the whole slices of Luke,kira and Ali are 6, 9 and 12.
Thus, it is possible.
Therefore, the whole slices of Luke,kira and Ali are 6, 9 and 12. So it is possible.
