Juliana and maria logged a total of 90 hours working for their dad. juliana worked 2 hours more than three times as much as maria. how many hours did juliana work?

Juliana worked 68 hours

Explanation:
Assume the hours logged by Juliana is x
Assume the hours logged by Maria is y

We are given that:
1- Total hours logged by both is 90. This means that:
x + y = 90 
This equation can be rewritten as:
x = 90 - y > equation I

2- Juliana worked 2 hours more than 3 times as much as Maria. This means that:
x = 3y + 2 > equation II

Substitute with equation I in equation II and solve for y as follows:
x = 3y + 2
90 - y = 3y + 2
88 = 4y
y = 22

Substitute with y in equation I to get x as follows:
x = 90 - y
x = 90 - 22
x = 68

Based on the above:
Hours logged by Juliana = x = 68 hours
Hours logged by Maria = y = 22 hours

Hope this helps :)