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

Question

Kennedy Adams · Accepted Answer

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

Or: #51div85=Xdiv100%-># #85*X=100*51->X=(100*51)/85=$60#

Ethan Adkins · Answer

#$60#

This is an illustration of a reverse percentage: we don't know the beginning amount, but we do know the amount AFTER a change has occurred.

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

Since we are comparing amounts and percents, you can use the direct proportion method.

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

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

#x = (51xx100)/85#

#x = $60#

To achieve the same outcome, the proportion could have also been written as follows:

#51/x = 85/100#

Eli Assouline · Answer

undefined To find the original price, you can set up an equation where the new price is 85% of the original price. Then, you can solve for the original price. In this case:

85% of the original price = $51.00

So, to find the original price, divide $51.00 by 0.85.

Original price = $51.00 / 0.85 = $60.00