you have a bag with 20 marbles ,2 yellow, 5 green, 12 red, and 1 blue.which of the following statements are true?select all that apply
To determine which statements are true, let's review the given information.
Total marbles in the bag = 20
Number of yellow marbles = 2
Number of green marbles = 5
Number of red marbles = 12
Number of blue marbles = 1
Now we will evaluate each statement:
Statement 1: There are 3 orange marbles in the bag.
This statement is false because there is no mention of orange marbles in the given information.
Statement 2: The majority of marbles in the bag are red.
This statement is true because there are 12 red marbles, which is the highest count among all the colors.
Statement 3: The ratio of red marbles to blue marbles is 12:1.
This statement is true because there are 12 red marbles and 1 blue marble.
Statement 4: There are more green marbles than yellow marbles in the bag.
This statement is true because there are 5 green marbles and 2 yellow marbles.
Therefore, the true statements are:
- Statement 2: The majority of marbles in the bag are red.
- Statement 3: The ratio of red marbles to blue marbles is 12:1.
- Statement 4: There are more green marbles than yellow marbles in the bag.
To determine which statements are true, we need to analyze the given information. We have a bag with 20 marbles consisting of the following colors: 2 yellow, 5 green, 12 red, and 1 blue. Now let's evaluate each statement:
1. There are more green marbles than blue marbles.
This statement is true. Since there are 5 green marbles and only 1 blue marble, the number of green marbles is greater.
2. The number of red marbles is equal to the number of yellow marbles.
This statement is false. There are 12 red marbles and 2 yellow marbles, so the number of red marbles is greater.
3. The total number of yellow and blue marbles is less than the number of red marbles.
This statement is true. The total number of yellow and blue marbles is 2 + 1 = 3, which is less than the 12 red marbles.
So, the true statements are:
- There are more green marbles than blue marbles.
- The total number of yellow and blue marbles is less than the number of red marbles.