Question

Fatuma recently hired a mechanic to do some necessary work. On the final bill, Fatuma was charged a total of $857. $425 was listed for parts and the rest for labor. If the hourly rate for labor was $72, how many hours of labor were needed to complete the job?(A) First write an equation you can use to answer this question. Use x as your variable and express any percent in decimal form in the equation.

Answer 1

A.) The given scenario is best represented by the following equation:

`\text{ y = 425 + 72x}`

Where,

425 = the fixed charge for the parts

72 = the charge for labor per hour

y = final bill

B.) Let's determine the number of hours of labor needed to do the job.

The total charge is $857.

`\text{ y = 425 + 72x}`
`\text{ 857 = 425 + 72x}`
`\text{ 72x = 857 - 425}`
`\text{ 72x = 432}`
`\frac{\text{ 72x = 432}}{\text{ 72}}`
`\text{ x = 6 hours}`

Therefore, the labor hours is 6 hours.