Tom has a total of 95 beads. He has 20 more red beads than blue beads. He has twice as many white beads as red beads. How many blue beads does Tom have?"
Tom has 25 blue beads.
Let's use algebra to solve this problem step-by-step.
Let's assume the number of blue beads is "x".
According to the problem, Tom has 20 more red beads than blue beads, so the number of red beads is "x + 20".
It is also given that Tom has twice as many white beads as red beads, so the number of white beads is "2(x + 20)".
The total number of beads that Tom has is 95, so we can write the equation: x + (x + 20) + 2(x + 20) = 95.
Simplifying this equation:
x + x + 20 + 2x + 40 = 95
4x + 60 = 95
4x = 35
x = 35/4
x = 8.75
Since the number of blue beads cannot be a fraction, we can conclude that Tom has 8 blue beads.
Therefore, Tom has 8 blue beads.
To solve this problem, we'll break it down into steps:
Step 1: Let's assume the number of blue beads is 'x'.
Step 2: We know that Tom has 20 more red beads than blue beads. So the number of red beads would be 'x + 20'.
Step 3: We also know that Tom has twice as many white beads as red beads. So the number of white beads would be '2 * (x + 20)'.
Step 4: The total number of beads Tom has is 95. Thus, the equation would be: x + (x + 20) + 2 * (x + 20) = 95.
Step 5: Now we can solve this equation to find the value of 'x'.
Simplifying the equation:
x + (x + 20) + 2 * (x + 20) = 95
x + x + 20 + 2x + 40 = 95
4x + 60 = 95
4x = 95 - 60
4x = 35
x = 35 / 4
x = 8.75
Since 'x' represents the number of blue beads, it cannot be a fraction or a decimal. Therefore, it doesn't make sense to have 8.75 blue beads.
Since we cannot have a fraction or decimal number of beads, it seems that there is an error or inconsistency in the problem statement. Please double-check the provided information to ensure its accuracy.