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