Denise H.

asked • 10/19/16

if a cashier can count a certain sum of money in 2 hours and another cashier can count the same sum in 3 hours

Please show me the easiest way to solve this problem. Thank you!
 
If a cashier can count a certain sum of money in 2 hours and another cashier can count the same sum in 3 hours then both cashiers working together can count this sum in...

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Mark M. answered • 10/19/16

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In one hour they count 1/2 and 1/3 respectively of the money
In x hours they count x/2 and x/3 respectively of the money
 
x/2 + x/ 3 = 1      together they do the 1 job.
 
Can you solve for x?
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Denise H.

No. Sadly, I never took algebra. Thanks anyway.
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10/19/16

Mark M.

x/2 + x/3 = 1
3x + 2x = 6       multiply both sides by LCD, 6
5x = 6              combine like terms
x = 6/5             divide both sides by 5
 
Working together they need one hour twelve minutes.
 
PS. If you have not taken Algebra why are you posting an Algebra style problem?
 
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10/19/16

Rose D.

So you times 3x2 and then divide 6 into 5 hours
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05/30/21

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