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# Word Problems/Word problem

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?

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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 Rating(1-10) Knowledgeability = 10 Clarity of Response = 10 Politeness = 10 Comment Yes! Thank you so much!

Word Problems

Volunteer

#### 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