If you want to give each child one seventh of a cake:

How many children can you invite to your party if you have 4 cakes?
One whole cake and one seventh of a cake are not eaten. How many children did not eat cake?
If 35 children arrived at your party, how many more do you need?

Assuming each cake is cut into 7 equal parts:

- You have a total of 28 sevenths of a cake (4 cakes x 7 parts each) to distribute among the children.
- Each child will receive one seventh of a cake, so you can invite a maximum of 28 children (since one whole cake and one seventh are not eaten).

If one whole cake and one seventh of a cake are not eaten, that is equivalent to 2 sevenths of a cake.

- To find out how many children did not eat cake, divide 2 sevenths by one seventh per child:
2/1 = 2 children did not eat cake.

If 35 children arrived and each child gets one seventh of a cake, you need to calculate the total number of sevenths needed:

- 35 children x 1/7 = 5 whole cakes (35 sevenths)
- However, you only have 28 sevenths of a cake, so you need 7 more sevenths to provide enough cake for everyone. That is equivalent to inviting 1 more child (7/1 = 1 child).

To give each child one seventh of a cake, you can divide the cakes accordingly:

If you have 4 cakes, you can divide each cake into 7 equal parts.

1 cake can be divided into 7 equal parts.

So, 4 cakes can be divided into 4 x 7 = 28 equal parts.

Therefore, you can invite 28 children to your party if you have 4 cakes.

If one whole cake and one seventh of a cake are not eaten, that means this amounts to 1 + 1/7 = 8/7 of a cake not eaten.

To find out how many children did not eat cake, we need to divide the amount of uneaten cake by the amount of cake per child.

8/7 of a cake divided by 1/7 of a cake per child is:

(8/7) รท (1/7) = 8/1 = 8 children did not eat cake.

If 35 children arrived at your party and 8 children did not eat cake, we can calculate the number of children who ate cake by subtracting the number of children who did not eat cake from the total number of children:

35 - 8 = 27 children ate cake.

To find out how many more children you need, subtract the number of children who already ate cake from the desired number of children:

28 - 27 = 1 more child is needed.

To determine how many children you can invite to your party if you have 4 cakes, you need to divide the cakes equally among the children, with each child receiving one-seventh of a cake. To do this, you would divide the total number of cakes by the fraction representing each child's share.

So, 4 cakes divided by 1/7 cake per child equals 28 children. Therefore, you can invite 28 children to your party if you have 4 cakes.

To calculate how many children did not eat cake, you need to subtract the number of children who ate cake from the total number of children. Each child who did not eat cake is equivalent to the fraction of one whole cake and one-seventh of a cake that was not eaten.
So, if you invited 28 children and there were 35 children in total, 35 - 28 = 7 children did not eat cake.

To determine how many more children you need if 35 children arrived at your party, you need to subtract the number of children who have already arrived from the desired total number of children.
So, if you want a total of 35 children and 35 children have already arrived, you would calculate 35 - 35 = 0 more children needed. Therefore, you do not need any more children for your party.