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maggie hired a cleaning company to clean her house. the cleaning company charges a fixed fee of $25 plus $15 determine the number of hours that the cleaning company worked if maggie paid them $85. explain how you solved your equation, and explain what your solution means.​

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Final answer:

The equation y = 25 + 15x represents the total amount Maggie paid, with x representing the number of hours worked. Solving the equation, we find that the cleaning company worked for 4 hours.

Step-by-step explanation:

To determine the number of hours that the cleaning company worked, we can set up an equation based on the given information. The cleaning company charges a fixed fee of $25 plus $15 per hour of work. Let's denote the number of hours worked as x. The equation would be:

y = 25 + 15x

where y represents the total amount Maggie paid and x represents the number of hours worked. Since Maggie paid $85, we can substitute y with 85 and solve the equation.

85 = 25 + 15x

60 = 15x

x = 4

Therefore, the cleaning company worked for 4 hours.

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