Tickets to The Phantom of the Opera just lowered 15%. If the new price is $51.00, what was the original price?

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Answer 1 · 2017-05-15T20:45:09

Then #$51.00# is #100%-15%=85%# of the original price.

Or:
#51div85=Xdiv100%->#

#85*X=100*51->X=(100*51)/85=$60#

Answer 2 · 2017-05-15T20:59:23

#$60#

Here we have an example of reverse percentage. You know the amount AFTER a change has happened, but we do not know the starting amount.

The starting amount represents #100%# and the changed amount of #$51# represents #85% " from " 100%-15%#

You can use direct proportion because we are comparing percents and amounts.

#x/100 = 51/85" "(larr"amount in dollars")/(larr"percent")#

#85x = 51 xx100" "# by cross-multiplying

#x = (51xx100)/85#

#x = $60#

You could also have written the proportion in this form to get the same result:

#51/x = 85/100#