Let's assign variables to the amounts each person has:
Let "x" represent the amount Latoya has.
Since Michael has $5 more than Latoya, we can represent Michael's amount as "x + 5".
Since Juan has 4 times what Latoya has, we can represent Juan's amount as "4x".
According to the given information, the total amount they have is $119. We can set up an equation based on that:
x + (x + 5) + 4x = 119
Combining like terms:
6x + 5 = 119
Subtracting 5 from both sides:
6x = 114
Dividing both sides by 6:
x = 19
Now we can find the amounts for each person:
Latoya: x = 19
Michael: x + 5 = 19 + 5 = 24
Juan: 4x = 4 * 19 = 76
Therefore, Latoya has $19, Michael has $24, and Juan has $76.