S.A.T Math
posted by Mack .
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?????

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.

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 #.... 
I still don't get it.

OR U CAN DO WAT BRIE SAID I TEND 2 TAKE THE LONG BUT SAFE WAY...LOLSZ...

I don't understand her either.

what don't u understand so i can explain it more??

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. 
yeah i guess that works to...lolsz
Respond to this Question
Similar Questions

??
why do you times 8.6x1.5x8? where does the 8 come from? 
math
Angelo is paid double time for each hour he works over 40 hours in a week. Last week he worked 46 hours and earned $520. What is his normal hourly rate? 
math
Angelo is paid double time for each hour he works over 40 hours in a week. Last week he worked 42 hours and earned $660. What is his normal hourly rate? 
algebra
Joan is paid 11/2 hours for every hour she works on Saturday and 2 hours for every hour worked on Sunday; she is paid regular time for the rest of the week. How many hours will she be paid for if she works 40 hours during the week, … 
math
Angelo is paid double time for each hour he works over 40 hours in a week. Last week he worked 42 hours and earned $484. What is his normal hourly rate? 
programming
Temp Employer wants a program that will allow the company’s clerk to enter an employee’s name and the number of hours the employee works every month. (The number of hours worked will always be an integer). The program will display … 
Math
Mike is paid at a rate of 950 per hour for the first 40 hours worked in a week and one and one half times that rate for all hours over 40 if he works 52 1/4 hours in a week what is his gross pay rounded to the nearest cent 
Information Systems Technology
Tom’s Paper Company Ltd wants to produce a payroll register using a program. The data entry clerk is required to enter data for each employee, which comprises of: the employee number (integer), the employee last name (string), the … 
Math
An employee earns $195 for 15 hours of work. Assuming he is paid by the hour, how much will the employee earn in 8 hours? 
Math
An employee earns $200 for 14 hours work. Assuming he is paid by the hour, how much will this employee earn in 35 hours?