Answer: 55x + 75 = 350; 5 hours
Explanation:
What we know:
- A flat fee is $75
- John charges $55 an hour
- The total charge is $350
We need to write an equation to find how many hours John works.
x will represent hours worked.
55x + 75 = 350
We now need to solve for x.
Subtract 75 from both sides.
55x + 75 - 75 = 350 - 75
Simplify.
55x = 275
Divide 55 from both sides.
55x/55 = 275/55
Simplify.
x = 5
John worked 5 hours.
To check our work, we just plug in our x value!
55(5) + 75
275 + 75 = 350