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Math Help - Help with difficult math problem please

  1. #1
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    Help with difficult math problem please

    I forgot how to work problems like this. Please show me how to work it if you can.

    Ryan makes $3.00 per hour more than Scott. If three times Ryan's rate plus four times Scott's rate is $65.00, then what is Ryan's hourly wage?
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by Pax1 View Post
    I forgot how to work problems like this. Please show me how to work it if you can.

    Ryan makes $3.00 per hour more than Scott. If three times Ryan's rate plus four times Scott's rate is $65.00, then what is Ryan's hourly wage?
    Let Ryan's wage be r=(s+3), where s is scott's wage.

    Then 3(r)+4(s)=65.

    Can you take it from here?
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  3. #3
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    Have a look at the substitution method on this page Simultaneous equations - Wikipedia, the free encyclopedia

    Si
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  4. #4
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    Another way to do that: Let "s" be Scott's hourly wage. Since "Ryan makes $3.00 per hour more than Scott", Ryan's hourly wage is s+ 3.

    Now "three times Ryan's rate plus four times Scott's rate is $65.00" becomes 3(s+3)+ 4s= 65 or 3s+ 9+ 4s= 7s+ 9= 65.
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  5. #5
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    Hi Pax1,

    I would make this a simple simultaneous equation with my working as follows:

    (1) r = 3 + s Ryan makes $3.00 per hour more than Scott

    (2) 3r + 4s = 65 three times Ryan's rate plus four times Scott's rate is $65.00

    Using the value of r in number (1) being 3 + s.... substitute this into (2)..

    (2) 3r + 4s = 65 ........... 3 (3 + s) + 4s = 65 .......... 9 + 3s + 4s = 65 ......... 9 + 7s = 65 ......... 7s = 56 ..........s = 8

    This means Scott makes $8 an hour

    Ryan makes $3 more than Scott per hour so Ryan makes $11.

    Always check that it fits into the equations given:

    (1) r = 3 + s .............. $11 = $3 + $8 correct

    (2) 3r + 4s = 65 ......... 3($11) + 4($8) = $65 ............ $33 + $32 = $65 correct.

    Hope this helps to check against your working
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  6. #6
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    Thank you all for your help. How do I post thanks?
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  7. #7
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by Pax1 View Post
    Thank you all for your help. How do I post thanks?
    Click the "thanks" button in the lower right hand corner of the post of the person you wish to thank.
    Last edited by VonNemo19; July 28th 2009 at 08:19 PM.
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  8. #8
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    Quote Originally Posted by VonNemo19 View Post
    Click the "thanks" button in the lower right hand corner of the post of the person you wish to thank.
    I don't see it.
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