Answer:
Therefore, the greatest number of wooden stands needed would be 2.
Explanation:
To find the greatest number of wooden stands needed to distribute the balloons evenly, we need to determine the common factor among the quantities of each color of balloon.
The common factor will represent the number of wooden stands required, as each stand should contain an equal number of yellow, red, white, and green balloons.
The quantities of each color of balloon are as follows:
- Yellow balloons: 12
- Red balloons: 16
- White balloons: 22
- Green balloons: 26
To find the greatest common factor, we can calculate it using various methods such as prime factorization or by finding the common factors of the numbers.
By observing the quantities of balloons, we can see that the greatest common factor among 12, 16, 22, and 26 is 2.
To distribute the balloons evenly, we can divide each quantity of balloons by the greatest common factor:
- Yellow balloons: 12 / 2 = 6
- Red balloons: 16 / 2 = 8
- White balloons: 22 / 2 = 11
- Green balloons: 26 / 2 = 13
Now, we have equal quantities of each color of balloon: 6 yellow, 8 red, 11 white, and 13 green.
Therefore, the greatest number of wooden stands needed would be equal to the greatest common factor, which is 2 in this case.
To summarize:
- The greatest common factor among the quantities of yellow, red, white, and green balloons is 2.
- Each wooden stand will contain an equal number of yellow, red, white, and green balloons.
- Therefore, the greatest number of wooden stands needed would be 2.