Problem

Laura, Dante, and Juan have a total of $\$ 120$ in their wallets. Juan has 3 times what Dante has. Laura has $\$ 5$ more than Dante. How much does each have? Español Amount in Laura's wallet: Amount in Dante's wallet: Amount in Juan's wallet: ?

Solution

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 :\(\boxed{\text{Amount in Laura's wallet: } $28, \text{ Amount in Dante's wallet: } $23, \text{ Amount in Juan's wallet: } $69}\)

From Solvely APP
Source: https://solvelyapp.com/problems/40779/

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