Posted by Mack on .
I do not understand This:
Employee x is paid $12.50 an hour for the first 36 hours he works in a week, and is paid double that rate for every hour over that. Employee Y is paid $15.00 an hour for the first 40 hours she works in a week, and is paid 1.5 times that rate for every hour over that. On a certain week, both employees worked the same # of hours and were paid the same amount. How many hours did each employee work that week?
The book says I have to Backsolve. What does Backsolve mean? How do I solve this problem?????

S.A.T Math 
brie,
you work backwards. multiply 12.50 and 36=hours worked in 1 week. do same w/ 15 and 40. keep adding on hours to each employee make sure to pay them either double or 1.5x more like it says. keep doing this until you come to an equal # of hours for both workers.

S.A.T Math 
gabriela,
It is like u are a owner of a store... when tony(x) starts you pay him $12.50 an hour for his first day & a half(36 hours) in every week & after that he gets paid $25.00 per hour...
Elanie(y) gets paid $15.00 an hour for the first 40 hours she works for a week & after that she is paid $23.50 for every hour she works after that.
now just make a chart of something that shows how much money they each make per week if they work X amount of hours & stop when they make the same amount working the same amount of hours that week...
HINT : THAT WILL BE A HIGH #.... 
S.A.T Math 
Mack,
I still don't get it.

S.A.T Math 
gabriela,
OR U CAN DO WAT BRIE SAID I TEND 2 TAKE THE LONG BUT SAFE WAY...LOLSZ...

S.A.T Math 
Mack,
I don't understand her either.

S.A.T Math 
gabriela,
what don't u understand so i can explain it more??

S.A.T Math 
DrBob222,
You can calculate the amount x gets paid for a 40 hour week.
That will be (36 hours*12.50/hour) + (4 hours*25/hour) = 450 + 100 = $550 for the 40 hour week.
y gets paid for the 40 hours a sum of 40 hours*15/hour = $600 for the 40 hour week.
The problem states that x and y worked the same number of hours and were paid the same. So let H = hours worked (over 40) and set the pay equal to each other like so.
x is paid 550+(25*H)
y is paid 600+(22.5*H). But since they are paid the same we can set them equal.
550+(25H)=600+(22.5H)
Solve for H, the number of hours each worked over the 40 hour week.
I get H = 20 hours so they must have worked 60 hours. 
S.A.T Math 
gabriela,
yeah i guess that works to...lolsz