Answer:
Explanation:
To find out how much of Sonya's birthday cake should be left when she gets home, we need to subtract the portions that were already eaten from the whole cake.
First, let's find out how much cake was eaten at her birthday party. Sonya mentions that 1/3 of the cake was eaten. To calculate this, we divide the cake into 3 equal parts and determine that 1 part was eaten.
Next, Sonya mentions that 1/4 of the cake was eaten by her family last night. Similarly, we divide the remaining cake into 4 equal parts and determine that 1 part was eaten.
Now, to calculate the amount of cake remaining, we subtract the portions that were eaten from the whole cake.
Since 1/3 + 1/4 = 7/12, Sonya's family has eaten a total of 7/12 of the cake.
To find the amount of cake that should be left, we subtract 7/12 from 1 (which represents the whole cake).
1 - 7/12 = 12/12 - 7/12 = 5/12.
Therefore, when Sonya gets home, approximately 5/12 of the cake should be left