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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- Jul 27th 2009, 06:50 PMPax1Help 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? - Jul 27th 2009, 06:55 PMVonNemo19
- Jul 27th 2009, 11:01 PMbananaxxx
Have a look at the substitution method on this page Simultaneous equations - Wikipedia, the free encyclopedia

Si - Jul 28th 2009, 02:11 AMHallsofIvy
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. - Jul 28th 2009, 02:43 AMJoel
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 - Jul 28th 2009, 06:38 PMPax1
Thank you all for your help. How do I post thanks?

- Jul 28th 2009, 06:48 PMVonNemo19
- Jul 29th 2009, 09:22 AMPax1