Question

Jenny has ten chickens that lay eggs every day. She wants to give away

her extra eggs to her neighbors, but she wants to give each neighbor an
equal number of eggs. She figures out that she needs to give 7 of her
neighbors eggs for them to get the same amount, otherwise there is one
egg left over. What is the smallest number of eggs she needs for this
situation to be true?

Answer 1

Answer: 14 eggs

Step-by-step explanation: Hello!

You know that there are 10 chickens that lay eggs every day. There are 7 neighbors that she needs to give eggs to so that they each get the same amount otherwise there is one egg left over. We know that each chicken must produce at least one egg per day, meaning that the bare minimum amount of eggs per day is 10. Let's try 10.

10/7 = 1 and 3/7. This means that there would be 3 eggs remaining. This is not possible. Let's try 11.

11/7 = 1 and 4/7. This means there would be 4 eggs remaining. Let's try 14.

14/7 = 2. This is the smallest number of eggs for each neighbor to get the same amount of eggs each per day (2). The smallest number of eggs she needs in total is 14.