document.write( "Question 899751: A lifeguard earns an hourly rate for 20h work in one week and an increased rate for overtime . One week Theresa worked 24 h and received $166.40. The next week she worked 27.5h and received $200. Find her hourly rate and her overtime rate of pay. \n" ); document.write( "

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A lifeguard earns an hourly rate for 20h work in one week and an increased rate for overtime . One week Theresa worked 24 h and received $166.40. The next week she worked 27.5h and received $200. Find her hourly rate and her overtime rate of pay.
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document.write( "Let her regular pay be r, and overtime pay, e
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document.write( "Then we get: 20r +   4e = 166.4 ------ eq (i)
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document.write( "Also,        20r + 7.5e = 200 -------- eq (ii)
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document.write( "Subtract eq (ii) from eq (i), or vice-versa, to obtain value of e: her overtime hourly rate. Substitute that
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document.write( "value for e into any of the 2 original equations to determine the value of r: her regular hourly rate.
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document.write( "Then do a check!! \r
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