Question

Mark Adler earned $1,963.71 salary per month as an assistant technician at a recording studio. His new job pays $9.80 per hour with time and a half for all hours over 40 hours per week. How many hours of overtime per week will he have to work to earn the same amount per week at his current job?

Answer 1

Mark Adler will have to work 133.59 hours of overtime per week to earn the same amount at his current job.

Word problems in algebra?

Word problems in algebra involve the use of mathematical models and variables to solve them. We use a careful and effective method to interpret the variables.

• In Mark Adler's current job, it was noted that he earns $1963.71 per month

However, his new job pays him $9.80 per hour and a half for all hours over 40 hours per week.

It implies that if he works for over 40 hours per week, he gets paid at the rate of:

$\mathbf{= 9.80 + \dfrac{9.80}{2}= \ 14.7/h}$

For 40 hours, he will make 40 hr × $14.7 / hr = $588

Therefore, to make the same amount per week at his current job, he has to work for:

$\mathbf{= \dfrac{\ 1963.71}{\ 14.7}}$

= $133.59 hours

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