The ratio of white marbles to blue in Connie's bag of marbles is equals to 2:3.
There are more than 20 marbles in the bag.
what is a possible number of white marbles and blue marbles in the bag?
how about 12white marbles and 18 blue marbles ( that meets the ratio of 2:3 and would be a total of 30 marbles in the bag)
If exactly 20, then it would be
8:12
So, since we have to add 5 marbles at a time (2+3=5), the next possibility is
10:15 makes 25 marbles
To find a possible number of white marbles and blue marbles in Connie's bag, we need to consider the given ratio and the fact that there are more than 20 marbles in the bag.
Let's assume the number of white marbles is 2x and the number of blue marbles is 3x, where x is a positive integer.
Since there are more than 20 marbles in the bag, the total number of marbles can be expressed as:
2x + 3x > 20
5x > 20
x > 20/5
x > 4
So, x should be greater than 4.
Now, let's consider some possible values for x to find different combinations of white and blue marbles:
1. If x = 5:
Number of white marbles = 2x = 2 * 5 = 10
Number of blue marbles = 3x = 3 * 5 = 15
2. If x = 6:
Number of white marbles = 2x = 2 * 6 = 12
Number of blue marbles = 3x = 3 * 6 = 18
3. If x = 7:
Number of white marbles = 2x = 2 * 7 = 14
Number of blue marbles = 3x = 3 * 7 = 21
Therefore, possible combinations of white marbles and blue marbles in Connie's bag are:
- 10 white marbles and 15 blue marbles
- 12 white marbles and 18 blue marbles
- 14 white marbles and 21 blue marbles