Let X = the number of hours the server works.
The equation for the amount Nick spends is 15x + 47
The next job pays 14x + 54
Set the equations to equal and solve for x:
15x + 47 = 14x +54
Subtract 14x from both sides:
X + 47 = 54
Subtract 47 from both sides:
X = 7
Now replace x with 7 in the second equation:
14x + 54 = 14(7) + 54 = 98 +54 = 152
The job would pay $152 and be 7 hours long.