Answer: Carmen has $17, Tony has $24, and Juan has $48.
Explanation:
First, let's write out the amount of money each of them has.
Let C represent the amount of money Carmen has, T for the amount of money Tony has, and J for the amount of money Juan has.
Juan has 2 times what Tony has, so the amount of money Juan has is 2T.
The amount of money Tony has is T.
Carmen has $7 less than Tony, so the amount of money Carmen has is T-7.
C T-7
T T
J 2T
They have a total of $89, so let's write this as an equation.
T - 7 + T + 2T = $89
Simplify.
4T - 7 = $89
Solve.
4T = $96
T = 96/4
T = $24
C 24-7 = $17
T $24
J 24x2 = $48
Therefore, Carmen has $17, Tony has $24, and Juan has $48.