Anne is visiting the hospital in order to give stuffed animals and books to sick children. She has 24 stuffed animals and 27 books to give. If she wants to give the same combination of stuffed animals and books to each child, with no gifts left over, what is the greatest number of children Anne can give gifts to?
To find the greatest number of children Anne can give gifts to with no gifts left over, we need to find the greatest common factor (GCF) of 24 and 27.
First, let's find the factors of 24 and 27:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 27: 1, 3, 9, 27
The common factors are 1 and 3. The greatest common factor is 3.
This means that Anne can give 3 stuffed animals and 3 books to each child.
To find the number of children she can give gifts to, we divide the total number of stuffed animals and books by the number given to each child:
(24 + 27) ÷ (3 + 3) = 51 ÷ 6 = 8 with a remainder of 3
This means that Anne can give gifts to 8 children, with 3 gifts left over. Therefore, the greatest number of children Anne can give gifts to with no gifts left over is 8.