# Math Help - Help with difficult math problem please

1. ## 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?

2. Originally Posted by Pax1
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?

3. Have a look at the substitution method on this page Simultaneous equations - Wikipedia, the free encyclopedia

Si

4. 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.

5. 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

6. Thank you all for your help. How do I post thanks?

7. Originally Posted by Pax1
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.

8. Originally Posted by VonNemo19
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.