Question

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

Answer 1

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 $x.$

Luke served  $\frac{2}{3}$  of his cake which are 4 slices.

So, the whole slices of cake of Luke is:

$\frac{2}{3} \ of\ x=4$

$\frac{2}{3} \times x=4$

Multiplying both sides by 3 we get:

$2\times x=12$

Dividing both sides by 2 we get:

$x=6.$

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

Kira served $\frac{2}{3}$  of her cake which are 6 slices.

So, the whole slices of Kira's cake is:

$\frac{2}{3} \ of\ x=6$

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

Multiplying both sides by 3 we get:

$2x=18$

Dividing both sides by 2 we get:

$x=9$.

Therefore, whole slices of KIra's cake is 9.

Now, Ali served $\frac{2}{3}$  of her cake which are 8 slices.

So, the whole slices of Ali's cake is:

$\frac{2}{3} \ of\ x=8$

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

Multiplying both sides by 3 we get:

$2x=24$

Dividing both sides by 2 we get:

$x=12.$

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.