Rosalyn worked 44 hr one week and earned a ​$989 paycheck. she earnsnbsptime and a half ​(1.5 times her regular hourly​ wage) for the number of hours she works in excess of 40. what is​ rosalyn?s regular hourly​ wage?

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Grade: Education Subject: mathematics
Rosalyn worked 44 hr one week and earned a ​$989 paycheck. she earnsnbsptime and a half ​(1.5 times her regular hourly​ wage) for the number of hours she works in excess of 40. what is​ rosalyn?s regular hourly​ wage?
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Solution:

Rosalyn earned = $989 in 44 hour

Excess work = 44 - 40 = 4

Let the regular hourly wage = $x /hour

Overtime hourly wages = $1.5x/hour

40x + 4($1.5x) = $989

40x + 6x = $989

46x = $989

x = 21.5

Hence, Rosalyn's regular hourly wages is $21.5.