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

Question

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?

Answer 1

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).