If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-to-whole ratio of white balloons to all balloons?
A) 1:5
B) 1:6
C) 1:7
D) 1:8
8 white
18 + 6 + 24 + 8 = 56
8 / 56 = 8/8 / 56/8 = 1/7
To find the part-to-whole ratio of white balloons to all balloons, we need to add up the number of white balloons and divide it by the total number of balloons.
The total number of white balloons is 8, and the total number of balloons is 18 + 6 + 24 + 8 = 56.
So, the part-to-whole ratio of white balloons to all balloons is 8:56, which simplifies to 1:7.
Therefore, the answer is C) 1:7.
To find the part-to-whole ratio of white balloons to all balloons, we need to determine the number of white balloons and the total number of balloons.
The total number of balloons is calculated by adding up the number of each color:
18 red + 6 yellow + 24 blue + 8 white = 56 balloons.
Next, we calculate the ratio of white balloons to all balloons:
Number of white balloons : Total number of balloons = 8 : 56
To simplify this ratio, we can divide both sides of the ratio by the greatest common divisor (GCD) of 8 and 56, which is 8.
8 ÷ 8 : 56 ÷ 8
1 : 7
Therefore, the part-to-whole ratio of white balloons to all balloons is 1:7.
The correct answer choice is C) 1:7.