Final answer:
After setting up the variables and solving the equations, we find that Alicia has $46, and since Tony has twice as much, he has $92.
Step-by-step explanation:
Let's define the following variables based on the information given:
- Let A be the amount of money Alicia has.
- Tony has twice as much money as Alicia, so he has 2A.
- Ralph has $16 more than Alicia, so he has A + $16.
The total amount of money they all have together is $200, which gives us the equation:
A + 2A + (A + $16) = $200
Solving the equation step-by-step:
- Combine like terms: 4A + $16 = $200
- Subtract $16 from both sides to isolate the variable terms: 4A = $184
- Divide both sides by 4 to solve for A: A = $46
Now that we know Alicia has $46, we can find out how much Tony has:
Tony has 2A, which is 2 x $46, so Tony has $92.