If a bag contains 16 red, 4 yellow, 20 blue, and 8 white balloons, what is the part-to-whole ratio of red balloons to all balloons?
Responses
A 1:41:4
B 1:61:6
C 1:31:3
D 1:5
:1
Answer: C 1:31:3
red : all = 14 : 48
= 7 : 24
explain what is meant by : part-to-whole ratio of red balloons to all balloons
To find the part-to-whole ratio of red balloons to all balloons, we need to divide the number of red balloons by the total number of balloons.
The total number of all balloons is:
16 red + 4 yellow + 20 blue + 8 white = 48 balloons
So, the part-to-whole ratio of red balloons to all balloons is:
16 red : 48 balloons
Simplifying the ratio by dividing both sides by 16:
1 red : 3 balloons
Therefore, the correct answer is C) 1:3
To determine the part-to-whole ratio of red balloons to all balloons, you need to calculate the number of red balloons as a fraction or ratio of the total number of balloons.
First, add up the number of red, yellow, blue, and white balloons in the bag:
16 red + 4 yellow + 20 blue + 8 white = 48 balloons
Next, calculate the number of red balloons as a fraction or ratio of the total number of balloons:
Number of red balloons: Total number of balloons
Number of red balloons: 48 balloons
Simplifying the ratio, we get:
1:48
So, the correct option is D) 1:5, which represents the part-to-whole ratio of red balloons to all balloons.