To solve this problem, we need to determine the value of x, which represents the number of red beads that Betty has.
We know that Betty has 3 red beads for every 2 blue beads. Therefore, the ratio of red beads to blue beads is 3:2.
We also know that Betty has 20 blue beads. Let's set up a proportion to solve for x:
3 red beads / 2 blue beads = x red beads / 20 blue beads
Cross-multiplying, we get:
3 * 20 = 2 * x
60 = 2x
To solve for x, we divide both sides of the equation by 2:
60 / 2 = x
30 = x
The value of x is 30.
#### 30
The answer is: 30
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Betty has 3 red beads for every 2 blue beads that she has. Betty has 20 blue beads if she has x red beads.

### Answer:
