Step 1 :Let L, D, and J represent the amount in Laura's, Dante's, and Juan's wallets respectively. We have the following equations: \(L + D + J = 120\), \(J = 3D\), and \(L = D + 5\)
Step 2 :Substitute the second and third equations into the first equation: \((D + 5) + D + (3D) = 120\)
Step 3 :Solve for D: \(5D + 5 = 120\) which gives \(D = 23\)
Step 4 :Find L and J using the second and third equations: \(L = D + 5 = 28\) and \(J = 3D = 69\)
Step 5 :\(\boxed{\text{Amount in Laura's wallet: } $28, \text{ Amount in Dante's wallet: } $23, \text{ Amount in Juan's wallet: } $69}\)