Elena bought 49 packets of red balloons, 66 packets of blue balloons, and 35 packets of yellow balloons. Each pack contained 12 balloons. She mixed them up and gave away some balloons. She then repacked the balance into packets of 25. How many balloons where there altogether?
To find the total number of balloons, we need to calculate the number of balloons in each color separately and then add them up.
First, let's find the number of red balloons:
Elena bought 49 packets of red balloons, and each packet contains 12 balloons.
So, the total number of red balloons = 49 packets * 12 balloons/packet = 588 balloons.
Next, let's find the number of blue balloons:
Elena bought 66 packets of blue balloons, and each packet contains 12 balloons.
So, the total number of blue balloons = 66 packets * 12 balloons/packet = 792 balloons.
Lastly, let's find the number of yellow balloons:
Elena bought 35 packets of yellow balloons, and each packet contains 12 balloons.
So, the total number of yellow balloons = 35 packets * 12 balloons/packet = 420 balloons.
Now, let's calculate the total number of balloons by adding up the balloons of each color:
Total number of balloons = Red balloons + Blue balloons + Yellow balloons
= 588 balloons + 792 balloons + 420 balloons
= 1800 balloons.
Since the balance was repacked into packets of 25, we don't need to consider the repacking process for this calculation. The total number of balloons is simply the sum of the balloons in each color.
Therefore, there were 1800 balloons altogether.