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The hourly wage of Bob and Jack are in ratio of 7:9. At the
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The hourly wage of Bob and Jack are in ratio of 7:9. At the end of an eighthour shift, Jack earned $28.64 more than Bob. How much does Bob earn per hour?
Submitted:
5 years ago.
Category:
Homework
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Expert:
M Hasan
replied 5 years ago.
Hi there!
Let Bob earn x per hour and Jack earn y per hour.
x : y is 7 : 9
Therefore,
9x = 7y
Also,
8x + 28.64 = 8y
So we have,
9x = 7y
8x + 28.64 = 8y
Solving these simultaneously yields,
x = 12.53
y = 16.11
Therefore, Bob earns $12.53 per hour.
Hope this helps. If so, please click 'Accept'. Thanks! :)
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Customer:
replied 5 years ago.
where does 8x come from , can you show more detail please
Expert:
M Hasan
replied 5 years ago.
Sure. I have added some more detail. Let me know if you would like something more in specific. :)
Let Bob earn x per hour and Jack earn y per hour.
x : y is 7 : 9
Therefore,
x/y = 7/9
9x = 7y
Also,
The amount earned by Bob = number of hours worked × rate per hour = 8x
The amount earned by Jack = number of hours worked × rate per hour = 8y
We know that:
Amount earned by Bob + 28.64 = Amount earned by Jack
8x + 28.64 = 8y
So we have,
9x = 7y  (1)
8x + 28.64 = 8y  (2)
Solving these simultaneously,
From (1)
x = 7y/9
Substitute this in (2),
8(7y/9) + 28.64 = 8y
28.64 = 8y  56y/9
28.64 = 16y/9
16y = 257.76
y = 16.11
Substitute this in (1),
9x = 7(16.11)
9x = 112.77
x = 12.53
Therefore,
x = 12.53
y = 16.11
Therefore, Bob earns $12.53 per hour.
Hope this helps. If so, please click 'Accept'. Thanks! :)
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Customer:
replied 5 years ago.
i'm still not sure where you get 8x from?
Expert:
M Hasan
replied 5 years ago.
THIS ANSWER IS LOCKED!
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Customer:
replied 5 years ago.
ok thanks, XXXXX XXXXX been helpful. I have six more questions for you, can you please let me know how much it would be for the other six
Expert:
M Hasan
replied 5 years ago.
You can click 'Accept' on this answer and then post one question at a time and then 'Accept' the answers to those as well.
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