Answer:
All the statements are correct.
Step-by-step explanation:
Larissa is baking two pies that are the same size:
an apple pie for her brothers and a pumpkin pie for her sisters.
Larissa cuts the apple pie into eights and serves the five slices for her brothers.
This means she divided the apple pie into 1/8, so 5 for a brothers = 5(1/8) = 5/8
The amount of apple pie left is = 1 - 5/8
= 3/8
Then, she cuts the pumpkin pie into sixths and serves three pieces to her sisters.
She divided the pumpkin pie into 1/6
Serving her 3 sisters = 3(1/6)
= 3/6
The amount left = 1 - 3/6 = 3/6 = 1/2
This means, her sisters are 1/2 of the pie and 1/2 is left
Her brothers and sisters eat all of the pie they are served, and nothing more.
Verifying the given options
a) There will be enough space to fit the leftover slices of pie together in one of the pie pans
Yes, this is correct it we put the left over slices of pie in the pumpkin pie pan.
Option a is correct.
b) There will be more empty space in the pumpkin pie pan than in the apple pie pan after the slices are served.
Option b) is true
This is because, the amount of space left in the pumpkin pie pan = 1/2
The amount of space left in the apple pie pan = 3/8
1/2 is greater than > 3/8
c) After Larissa served the apple pie, there is exactly 0.375 of the apple pie remaining.
Larissa served, 5/8 of the apple pie,
3/8 is left , 3/8 = 0.375.
Option c is correct.
d) After putting the pies together in one pan, 1/8 of the pie pan would still be empty
Yes, if the left over pies are put in the pumpkin pie pan.
This is because, the amount of space left in the pumpkin pie pan = 1/2
The amount of space left in the apple pie pan = 3/8
1/2 + 3/8
= 4+3/8 = 7/8
1 - 7/8 = 1/8
Option d is correct
Therefore, all the 4 statements are correct.
