judy is planning a party for her young sister. she has 36 prizes and 24 balloons. what is the greatest number of children that can attend the party so that each child gets an equal number of prizes and its equal number of Balloons
12 persons
Each has 2 balloons and 3 prizes
Let's look at the factors of 24 and 36.
1, 24, 2, 12, 3, 8, 4, 6
1, 36, 2, 18, 3, 12, 4, 9, 6
What is the largest common factor?
12
hi am noob pls help i is poor
poop
I’m doing school stuff and this is one of the questions that popped up in math, and I need help
To determine the greatest number of children that can attend the party, we need to find the greatest common divisor (GCD) of the number of prizes and the number of balloons.
The GCD represents the largest number that can evenly divide both numbers.
To find the GCD of 36 and 24, we can use the Euclidean algorithm, which involves continuously dividing the larger number by the smaller number until the remainder is zero.
Using this algorithm:
Step 1: Divide 36 by 24. The quotient is 1 and the remainder is 12.
Step 2: Divide 24 by 12. The quotient is 2 and the remainder is 0.
Since the remainder is now zero, we stop the process.
Therefore, the GCD of 36 and 24 is 12.
This means that each child can receive a maximum of 12 prizes and 12 balloons.
To find the number of children that can attend the party, we divide the total number of prizes (36) and balloons (24) by the GCD (12):
Number of children = 36 ÷ 12 = 3
Hence, the greatest number of children that can attend the party is 3, and each child would receive 12 prizes and 12 balloons.