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Math Help - Find Hourly Cost

  1. #1
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    Find Hourly Cost

    Ramón rented a sprayer and a generator. On his first job, he used each piece of equipment for 6 hours at a total cost of $90. On his second job, he used the sprayer for 4 hours and the generator for 8 hours at a total cost of $100. What was the hourly cost of
    each piece of equipment?

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  2. #2
    Senior Member
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    Hi there

    Quote Originally Posted by magentarita View Post
    Ramón rented a sprayer and a generator. On his first job, he used each piece of equipment for 6 hours at a total cost of $90. On his second job, he used the sprayer for 4 hours and the generator for 8 hours at a total cost of $100. What was the hourly cost of
    each piece of equipment?

    On his first job:

    he used EACH PIECE ...
    what does that mean? He used the sprayer for 6 hours and he used the generator for 6 hours,

    => 6*CostSprayer + 6*CostGenerator = $90

    Because cost = 90$

    On his second job:

    He used the sprayer for 4 hours

    => 4*CostSprayers

    and used the generator for 8 hours

    => 8*CostGenerator

    at total cost =$100


    => 4*CostSprayer + 8 CostGenerator = $100

    (of course you add CostSprayer and CostGenerator to get the total costs)

    Thus there are to equations
    6*CostSprayer + 6*CostGenerator = $90
    4*CostSprayer + 8 CostGenerator = $100

    Can you solve it?

    Solution:

    CostSprayer = $5 per hour, CostGenerator $10 per hour
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  3. #3
    MHF Contributor
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    ok...

    Quote Originally Posted by Rapha View Post
    Hi there



    On his first job:

    he used EACH PIECE ...
    what does that mean? He used the sprayer for 6 hours and he used the generator for 6 hours,

    => 6*CostSprayer + 6*CostGenerator = $90

    Because cost = 90$

    On his second job:

    He used the sprayer for 4 hours

    => 4*CostSprayers

    and used the generator for 8 hours

    => 8*CostGenerator

    at total cost =$100


    => 4*CostSprayer + 8 CostGenerator = $100

    (of course you add CostSprayer and CostGenerator to get the total costs)

    Thus there are to equations
    6*CostSprayer + 6*CostGenerator = $90
    4*CostSprayer + 8 CostGenerator = $100

    Can you solve it?

    Solution:

    CostSprayer = $5 per hour, CostGenerator $10 per hour
    Thank you so much.
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