Help on Math urgent need help

Jason babysat for 60 hours during July. He charged $1.50 for each hour that he worked before midnight and 3 dollars an hour after midnight. If he earned $112.50 in all, how many hours he work after midnight.

I need to have a verbal model and how do u solve it, and write it in as an equation.

let x be the hours before midnight and y be the hours after
the equations are:
x+y=60
1.5x+3y=112.5
there are lots of ways to solve this, here's one
solve the top one for x:
x=60-y
plug it in to the second equation
1.5(60-y)+3y=112.5 and solve
90-1.5y+3y=112.5
1.5y=22.5
y=15
plug this into the original and solve for x
x+15=60
x=45
so he worked 45 hours before midnight and 15 hours after midnight.

Let
x : number of hours worked before midnight
y : number of hours worked after midnight

Since he worked for 60 hours during July, that means

x + y = 60

Because x + y is the total amount of hours worked.

The equation for how much money he makes (call this P) is

P = 1.5*x + 3*y

So if P = 112.50, that means

112.50 = 1.5*x + 3*y

The rest should be straightforward. You have two linear equations and you need to solve for the two variables. You can use substitution for example.