help!/ very puzzled

remon rented a sprayer and a genarator. On his first job, he used each peice of equipment for 6 hours at a total cost of $90. On his second job,he used the sprayer for 4 hours and the genarator for 8 hours at the cost of $100. what was the hourly cost of each peice of equipment?


We are trying to find the hourly cost of the sprayer and the hourly cost of the generator. These are unknown.

From the cost of the first job, we know that:

6 hours of sprayer use + 6 hours of generator use = $90

To find out what it would cost for 1 hour of sprayer use and 1 hour of generator use, divide both sides of the equation by 6. We get:

1 hour of sprayer use + 1 hour of generator use = $15

Now rearrange this equation to find out how much 1 hour of sprayer use costs:

1 hour of sprayer use = $15 - 1 hour of generator use

From the cost of the second job, we know that:

4 hours of sprayer use + 8 hours of generator use = $100

Subsitute in our equation for the cost of 1 hour of sprayer use:

4 x ($15 - 1 hour of generator use) + 8 hours of generator use = $100

Multiply this out:

$60 - 4 hours of generator use + 8 hours of generator use = $100

Solve the equation:

4 hours of generator use = $40
1 hour of generator use = $10

Therefore:
1 hour of sprayer use = $5

Hope this helps,
A Tutor

  1. 👍 0
  2. 👎 0
  3. 👁 278

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    You are the manager of an apartment complex with 50 units. When you set rent at $800/month, all apartments are rented. As you increase rent by $25/month, one fewer apartment is rented. Maintenance costs run $50/month for each

    asked by Meghan on April 7, 2018
  2. STATS

    Solve the problem. Round the point estimate to the nearest thousandth. 22 randomly picked people were asked if they rented or owned their own home, 9 said they rented. Obtain a point estimate of the proportion of home owners. A)

    asked by Anonymous on September 25, 2011
  3. Math

    A videoke machine can be rented for 1000 pesos for 3 days but for the fourth day onwards an addition cost of 400 pesos per day I added. Represent the cost of renting a videoke machine as a piecewise function of the number of days

    asked by Kyle David Desoyo on June 19, 2017
  4. math

    kevin had a board that was 5 and 1/4 feet long. while making making a fence, he cut a peice 3 and 3/4 feet long from the board. what was the lenth of the peice of board remained?

    asked by zac on May 7, 2012
  5. Physics

    An electrostatic paint sprayer has a 0.200-m-diameter metal sphere at a potential of 25.0 kV that repels paint droplets onto a grounded object. What charge must a 0.100-mg drop of paint have to arrive at the object with a speed of

    asked by katie on July 14, 2013
  1. english

    18. Identify the sentence that most strongly relies on emotional language. I was surprised when you took a job with that company. It came as a real shock when you took a job with that company. When you took a job with that

    asked by kate on April 10, 2015
  2. Calculus

    A car rental agency rents 180 cars per day at a rate of 32 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is

    asked by JEUCD 12/1/11 on December 1, 2011
  3. English

    1.Which of the following is used when political candidate highlights his or her experience in finance as the basis of a plan for economic recovery? A.Ethos B.Pathos C.Logo***** 2. Identify the sentence that most strongly relies on

    asked by Cassie on May 19, 2015
  4. math

    The amount of paint an electric paint sprayer applies varies directly with time. A sprayer is set to apply 0.5 gallon in 2.5 minutes. Write an equation that gives the amount P of paint as a function of the time T. How much paint

    asked by Dina on September 23, 2014
  5. Math

    A peice of ribbon 63cm long to be cut into two peices in ratio 2:5.find the length of each peice ?

    asked by shashi on February 21, 2017
  6. HR

    Which of the following approaches would be most appropriate when gathering information for jobs that are repetitive and involve physical activity? A. A job analyst visits the workplace and asks employees to show what the job

    asked by Babybear on June 17, 2018

You can view more similar questions or ask a new question.