document.write( "Question 258824: Shelly Egan works as a stocker at a grocery store during summer vacation. She gets paid a standard hourly rate for her day hours but a higher hourly rate for any hours she works during the night shift. One week she worked 17 daylight hours and 8 nighttime hours and earned $191. The next week she earned $219 for a total of 12 daytime and 15 nighttime hours. What is the rate she is being paid for daytime hours and what is the rate for nighttime hours?\r
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Algebra.Com's Answer #190626 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
17x+8y=191 multiply by 15.
\n" ); document.write( "12x+15y=219 multiply by -8 & add.
\n" ); document.write( "255x+120y=2,865
\n" ); document.write( "-96x-120y=-1,752
\n" ); document.write( "---------------------
\n" ); document.write( "159x=1,113
\n" ); document.write( "x=1,113/159
\n" ); document.write( "x=$7 is the hourly rate for daytime hours.
\n" ); document.write( "17*7+8y=191
\n" ); document.write( "119+8y=191
\n" ); document.write( "8y=191-119
\n" ); document.write( "8y=72
\n" ); document.write( "y=72/8
\n" ); document.write( "y=$9 is the hourly rate for nightime hours.
\n" ); document.write( "Proof:
\n" ); document.write( "12*7+15*9=219
\n" ); document.write( "84+135=219
\n" ); document.write( "219=219
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