Lindsey buy s a bag of each size of bouncy ball. She wants to put the same number of each size of bouncy ball into 5 party-favor bags. How many of each size of bouncy ball which she put in a bag?
there's 34 27 mm, 12 40 mm, and 34 45 mm bouncy balls :)
To find out how many of each size of bouncy ball Lindsey should put in a bag, we first need to know the total number of bouncy balls she has. Let's assume Lindsey bought a bag of small bouncy balls and a bag of large bouncy balls.
Next, we need to know the number of each size of bouncy ball Lindsey has. Let's say she has "x" small bouncy balls and "y" large bouncy balls.
Since Lindsey wants to put the same number of each size of bouncy ball in each bag, we need to find a common factor of "x" and "y" that is divisible by 5 (the number of bags).
To simplify the problem, we can find the greatest common divisor (GCD) of "x" and "y" using a method called prime factorization.
1. Find the prime factors of "x" and "y". For example, if "x" = 24, the prime factorization would be: 24 = 2^3 * 3.
2. Find the common prime factors of "x" and "y". For example, if "y" = 36, the prime factorization would be: 36 = 2^2 * 3^2.
3. Multiply the common prime factors. In this case, the common prime factors are 2 * 3 = 6. Therefore, 6 is the GCD of "x" and "y".
Now, we need to determine how many of each size of bouncy ball go into each party-favor bag. Since the GCD is 6 and there are 5 bags, we can divide the GCD by 5 to find the number of each size of bouncy ball to put in a bag.
For example, in each bag, Lindsey would put 6/5 = 1 small bouncy ball and 6/5 = 1 large bouncy ball.
Therefore, Lindsey should put 1 of each size of bouncy ball in each of the 5 party-favor bags.