Question

Score: 50/10012/20 answeredQuestion 14<>James recently hired a roofer to do some necessary work. On the final bill, James was charged a total of$771. $375 was listed for parts and the rest for labor. If the hourly rate for labor was $66, how many hoursof labor was needed to complete the job?(A) First write an equation you can use to answer this question. Use x as your variable and express anypercents in decimal form in the equation.The equation is(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.Answer: The number of labor hours wasQuestion Help: D Video D Post to forumType here to searchIIE

Answer 1

Part A:

Let x be the number of hours of labor to complete the job

y be the total amount charged.

Since there is an initial charge of $375 for the parts, and $66 per hour, the total amount charged can be written in the equation

`y=66x+375`

Part B:

If James was charged a total of $771, then y = 771, solve for x.

`\begin{gathered} y=66x+375 \\ \\ \text{Substitute }y=771 \\ 771=66x+375 \\ \\ \text{Subtract both sides by }375 \\ 771-375=66x+375-375 \\ 396=66x\cancel{+375-375} \\ 66x=396 \\ \\ \text{Divide both sides by }66 \\ (66x)/(66)=(396)/(66) \\ \frac{\cancel{66}x}{\cancel{66}}=6 \\ x=6 \end{gathered}`

Therefore, the number of labor hours was 6.