An automobile repair shop charged a customer $1182, listing $357 ...

Question

An automobile repair shop charged a customer $1182, listing $357 for parts and the remainder for labor. If the cost of labor is $75 per hour, how many hours of labor did it take to repair the car?

Accepted Answer

Hello. Today we're going to be solving a word problem. So the word problem states that a writer has an initial fee of $ and a fee of $5 per page that he writes? If he charged a client an amount of $105, how many pages did he write? Okay. So in order to figure that out, let's go ahead and note one thing real quick. We're told that the initial fee of his services are $30. So no matter how many pages you right you're going to be charged $30. And we are told that he charges $5 per page. Well we don't know how many pages we want. So we can represent the amount of pages as the variable X. And since it's $5 per page it's gonna be the amount of pages times five. Given that we know the amount of pages of course. And we are told that the final amount that he charges a client Is $105. So how can we equate these three things together? Well whoever is hiring this person has to pay $ plus $5 times the amount of pages that they wish for this writer to write. And the writer has charged a total amount of $105 to his client. So using this information we can make the equation 30 plus five X. Is equal to 105. And we can use this equation to go ahead and solve for the amount of pages that are required for the total price to be 100 $5. In order to do this, we need to go ahead and subtract 30 from both sides of this equation. Doing so is going to leave us with five X equal to 75. And in order to solve for X, we're going to go ahead and divide both sides of this equation by five. Doing so is going to give us X is equal 15, And that's going to be the amount of pages required for his services to have a total cost of $105. That also means that the answer to this problem is going to be be so I hope this video helps you in understanding how to solve this type of word problem and I'll go ahead and see you all in the next video.

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An automobile repair shop charged a customer $1182, listing $357 for parts and the remainder for labor. If the cost of labor is $75 per hour, how many hours of labor did it take to repair the car?