Greta is visiting the hospital in order to give stuffed animals and books to sick children. She has 60 stuffed animals and 84 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 Greta can give gifts to?
Question
Greta is visiting the hospital in order to give stuffed animals and books to sick children. She has 60 stuffed animals and 84 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 Greta can give gifts to?
Solution
To find out the greatest number of children Greta can give gifts to, we need to find the greatest common divisor (GCD) of the number of stuffed animals and books. The GCD is the largest number that divides both numbers without leaving a remainder.
Step 1: Find the GCD of 60 (stuffed animals) and 84 (books).
The GCD of 60 and 84 is 12.
Step 2: Divide the total number of gifts by the GCD.
Greta has 60 stuffed animals and 84 books, so she has a total of 144 gifts. If we divide 144 by the GCD (12), we get 12.
So, the greatest number of children Greta can give gifts to is 12. Each child would receive 5 stuffed animals and 7 books.
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