The ratio of white marbles to blue marbles in Connie's bag of marbles is equal 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?

white marbles --- 2x

blue marbles ---- 3x

5x > 20
x > 4

so pick any value of x > 4, say x = 8

then whites = 16
blues = 24

notice 16:24 = 2 : 3 and 16+24 > 20

you could pick as many combinations as you want.

To determine a possible number of white and blue marbles in Connie's bag, we need to find values that satisfy the given ratio of 2:3.

Let's assume the number of white marbles is 2x, and the number of blue marbles is 3x, where x is a positive integer. This assumption ensures that the ratio of white marbles to blue marbles stays consistent.

Since we know there are more than 20 marbles in the bag, we can set up an inequality:

2x + 3x > 20

Simplifying the equation:

5x > 20

Dividing both sides by 5:

x > 4

So, x must be greater than 4.

Now, let's substitute x with different values greater than 4 to find possible numbers of white and blue marbles:

If x = 5:
Number of white marbles = 2x = 2 * 5 = 10
Number of blue marbles = 3x = 3 * 5 = 15

If x = 6:
Number of white marbles = 2x = 2 * 6 = 12
Number of blue marbles = 3x = 3 * 6 = 18

If x = 7:
Number of white marbles = 2x = 2 * 7 = 14
Number of blue marbles = 3x = 3 * 7 = 21

Therefore, a possible number of white marbles and blue marbles in the bag could be 10 white marbles and 15 blue marbles, 12 white marbles and 18 blue marbles, or 14 white marbles and 21 blue marbles.

white marbles --- 2x

blue marbles ---- 3x

5x > 20
x > 4

so pick any value of x > 4, say x = 8

then whites = 16
blues = 24

notice 16:24 = 2 : 3 and 16+24 > 20

you could pick as many combinations as you want.

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posted by Reiny

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