The price of a theater ticket was $100.00 two decades ago. A report says that a theater ticket is now 350% of what it was 20 years ago, how much would it cost today? Express your answer rounded to the nearest cent.
+37084 $100 x (3.5) = $ 350.00
If it is 350% MORE than it was 20 years ago (the question does not ask this) then it is 100 + 100 (3.5) = 450.00
NO!!!. Suppose the price had gone up by 50%, what would a $100 ticket cost today?
(50/100 +1) x $100 =$150. EXACTLY the same principal applies for 350%!!!!!.
+37084 The question does not state it has gone up 350% ...the wording says it is 350% of what it was...
That is why I answered the question the way I did.
"...A report says that a theater ticket is now 50% of what it was 20 years ago....' the answer would be $50.
If it said it was 50% MORE than it was 20 years ago it would be $ 150
No!!. Anytime you see a % sign, you have to treat it consistently. If it said " the price is 3.5 times what it was", then you would be right. Proof: 350/100 - 1 =250% NOT 350% they state.
+129840 EP is correct.....the difference here is in the words "of" and "more"
Consider......if the question had said the price was 100% of what it was....it would be exactly the same price = $100
But...if the question had said the price is 100% more than what it was.......the price would have doubled = $ 200
Since the question uses "of"....consider
100% of $100 = $100
200% of $100 = $ 200
300% of $100 = $ 300
So......350% of $100 = $350
