SOLUTION: Please help me with this word problem. There seems to be too many numbers and it's confusing me.Thanks a lot for helping me.I really appreciate it. You work at a grocery store

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Please help me with this word problem. There seems to be too many numbers and it's confusing me.Thanks a lot for helping me.I really appreciate it. You work at a grocery store      Log On


   

Question 12408: Please help me with this word problem. There seems to be too many numbers and it's confusing me.Thanks a lot for helping me.I really appreciate it.

You work at a grocery store. Your hourly wage is greater after 6:00 p.m, than it is during the day. One week you work 20 daytime hours and 20 evening hours and earn $280. Another week you work 30 day time hours and 12 evening hours and earn a total of $276. What is your daytime rate? What is your evening rate?
Truly,
Kat
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let D = day time rate and E = evening rate.
20%28D%29+%2B+20%28E%29+=+280 and
30%28D%29+%2B+12%28E%29+=+276 Multiply the 1st equation by 3 and the 2nd equation by 2.
60D+%2B+60E+=+840 and
60D+%2B+24E+=+552 Now subtract the 2nd equation from the 1st equation.
36E+=+288 Divide both sides by 36.
E+=+8 Substitute this into 2nd equation and solve for D.
20D+%2B+20%288%29+=+280
20D+%2B+160+=+280 Subtract 160 from both sides.
20D+=+120 Divide both sides by 20.
D+=+6
Daytime rate is $6.00 per hour.
Evening rate is $8.00 per hour.