Answer: The first worker works for 15 hours
The second worker works for 5 hours
Step-by-step explanation:
Our variables x and y are the number of hours worked.
This is our first equation
x + y = 20
Since the first worker charges $115 and the second worker charges $105 per hour, we set up our second equation as
115x + 105y = 2250
To solve for x, or the number of hours the first worker worked, we eliminate the y value by multiplying the first equation, x + y = 20, by -105.
We then have the equations:
-105x - 105y = -2100
115x + 105y = 2250
We add the equations to get
10x = 150
We divide 150 by 10 to find x is equal to 15
To solve for the y we do the same thing but eliminate the x value
Our equations will be
-115x - 115y = -2300
115x + 105y = 2250
Again we add the equations together to get
-10y = -50
We divide -50 by -10 to find y is equal to 5
