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Question
Hi! I have this word problem on my take-home test that I don't know what to do with. We haven't done anything like it in class.

Madison is paid time-and-a-half for hours worked in excess of 40 hours and double-time for hours worked on Sunday. If Madison had gross weekly wages of $396 for working 49 hours, 3 of which were on Sunday, what is her regular hourly rate?

Answer
Hello Rosalynd,

Let x = Madison's regular pay rate, then
1.5x = the time-and-a-half rate, and
 2x = the double-time rate

She worked a total of 49 hours, 3 on Sunday...so, 6 hrs must be at the time-and-a-half rate.

Thus, her total wages are:
40x + 6*1.5x +3*2x = 396

==> 40x + 9x + 6x = 396
==> 55x = 396
==> x = 7.2 or $7.20 per hour

OK?

Abe  

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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