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M Hasan
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Experience:  BA (Hons) in Mathematics from Oxford University
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The hourly wage of Bob and Jack are in ratio of 7:9. At the

Resolved Question:

The hourly wage of Bob and Jack are in ratio of 7:9. At the end of an eight-hour shift, Jack earned $28.64 more than Bob. How much does Bob earn per hour?
Submitted: 5 years ago.
Category: Homework
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! :)
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! :)
Customer: replied 5 years ago.
i'm still not sure where you get 8x from?
Expert:  M Hasan replied 5 years ago.
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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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