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Mathematics 18 Online
OpenStudy (anonymous):

An item that originally cost $100 is decreased by 8%. The reduced price is then increased by 8%. The resulting price is _____. $100 $92 between $92 and $100 more than $100

OpenStudy (anonymous):

@brookester6 @Luis_Rivera

OpenStudy (mathstudent55):

What is 8% of 100?

OpenStudy (anonymous):

8...

OpenStudy (anonymous):

so B isnt it...

OpenStudy (mathstudent55):

Good. After the 8% discount, which is $8 is taken off the price, the item is now at $92, right?

OpenStudy (anonymous):

I feel so retarded.

OpenStudy (mathstudent55):

We're not done yet.

OpenStudy (mathstudent55):

After the original price is decreased by 8%, the item is now at $92. Agree?

OpenStudy (anonymous):

Yea

OpenStudy (mathstudent55):

Now you need to add 8% to $92, but you are not adding 8% of $100 to $92, you are adding 8% of $92 to $92. SInce we already know that 8% of $100 is $8, we can understand that 8% of $92 is a little less than $8, so the amount added to $92 is less than $8. What do you get?

OpenStudy (anonymous):

B

OpenStudy (mathstudent55):

No. After taking off 8% you are at $92. Now you are going to add 8% of $92 to $92. The answer has to be more than $92. The question is how much more. Will it be between $92 and $100 or more than $100? 8% of $92 is less than $8 but more than zero. If you add $92 to a number that is between 0 and $8, which choice do you get?

OpenStudy (anonymous):

C

OpenStudy (anonymous):

@mathstudent55

OpenStudy (mathstudent55):

correct

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