Higgins Rental charges $ 18 an hour to rent a power tool in addition to a $9 flat service fee. If Joseph rents a power tool and is charged $ 423, how many hours did he rent the tool?
Hint: Convert the above scenario into an equation of the form A x + B = C.
I need help to get to the right direction of this problem to get the right answer
423 - 9 = 414
414/18 = 23
But the formula doesnt work because its gotta b in ax+b=c equation
To solve this problem, let's break down the information given and convert it into an equation.
Let's use the variable "x" to represent the number of hours Joseph rented the power tool.
Based on the given information, we know that Higgins Rental charges:
- $18 per hour of rental
- $9 flat service fee
The equation can be set up as follows:
18x + 9 = 423
Here's how we get to this equation:
- The cost of renting the tool for "x" hours is calculated as the cost per hour multiplied by the number of hours: 18x
- In addition to the cost per hour, there is a $9 flat service fee: 18x + 9
- This combined cost is equal to the total charged, which is $423: 18x + 9 = 423
Now, you can solve this equation to find the value of "x" by isolating the variable:
18x + 9 = 423
Subtract 9 from both sides:
18x = 414
Divide both sides by 18:
x = 23
Therefore, Joseph rented the power tool for 23 hours.