This week Evonne worked 50 hours, 10 hours overtime. Find her hourly wage for overtime.
in Word Problem Answers by
reshown by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Without indicating what money she earns there isn't enough information. We also need to know the overtime rate compared to normal working hours. Not to worry, we can use symbols. First, let's put a value, W, on how much she earns for 50 hours, which I assume includes the 10 hours overtime. Let the overtime rate be time and a quarter, which means that overtime is worth 25% more than normal time. If she works 50 hours including the overtime, she works 40 hours normal time. Remember we have been given W as a number. This doesn't tell us her normal hourly rate, so we'll call it an unknown quantity H. So W (given)=40H+10H*1.25=40H+12.5H=52.5H. Now we can work out H=W/52.5. That's the normal rate. The overtime rate is 1.25H.

Let's say the wage, W, is $1,050 for the week. H=1050/52.5=$20 per hour. The overtime rate is 1.25*20=$25 per hour. 40 hours at $20 per hour earns $800 and 10 hours' overtime earns $250, so she takes home 800+250=$1,050.

by Top Rated User (1.2m points)

Related questions

1 answer
1 answer
asked Dec 5, 2015 in Other Math Topics by Mathical Level 10 User (57.4k points) | 1.2k views
1 answer
asked Dec 5, 2015 in Other Math Topics by Mathical Level 10 User (57.4k points) | 545 views
1 answer
asked Dec 5, 2015 in Other Math Topics by Mathical Level 10 User (57.4k points) | 1.6k views
3 answers
asked Nov 20, 2015 in Pre-Algebra Answers by Mathical Level 10 User (57.4k points) | 3.1k views
1 answer
asked Dec 5, 2015 in Pre-Algebra Answers by Mathical Level 10 User (57.4k points) | 684 views
1 answer
asked Dec 4, 2015 in Pre-Algebra Answers by Mathical Level 10 User (57.4k points) | 2.0k views
1 answer
asked Dec 3, 2015 in Word Problem Answers by Mathical Level 10 User (57.4k points) | 3.5k views
2 answers
asked Dec 3, 2015 in Word Problem Answers by Mathical Level 10 User (57.4k points) | 4.2k views
1 answer
asked Mar 16, 2015 in Word Problem Answers by anonymous | 567 views
1 answer
asked Mar 14, 2015 in Word Problem Answers by anonymous | 573 views
1 answer
2 answers
asked Nov 6, 2015 in Pre-Algebra Answers by Mathical Level 10 User (57.4k points) | 856 views
2 answers
asked Nov 17, 2015 in Pre-Algebra Answers by Mathical Level 10 User (57.4k points) | 2.4k views
1 answer
asked Nov 17, 2015 in Pre-Algebra Answers by Mathical Level 10 User (57.4k points) | 3.8k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,279 answers
2,420 comments
732,471 users