SOLUTION: A candy manufacturer decided to decrease the weight of each candy bar, while retaining the price. By how many cents did the per kilogram cost of candy change after the reduction in

Algebra.Com
Question 1208468: A candy manufacturer decided to decrease the weight of each candy bar, while retaining the price. By how many cents did the per kilogram cost of candy change after the reduction in weight?
Statement 1: The weight of each piece of candy bar reduced by 9 grams.
Statement 2: The weight of each piece of candy bar reduced by 9%.

Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
A candy manufacturer decided to decrease the weight of each candy bar, while retaining the price.
By how many cents did the per kilogram cost of candy change after the reduction in weight?
Statement 1: The weight of each piece of candy bar reduced by 9 grams.
Statement 2: The weight of each piece of candy bar reduced by 9%.
~~~~~~~~~~~~~~~~~~~~~~~


The problem's formulation in the post is incorrect.

In this formulation, the problem can not be solved.

The problem's creator deserves the most serious condemnation for posting gibberish to the forum.

If I see this gibberish next time at this forum, I will delete it without any further explanations.

            To the managers of this forum


      Please takes the adequate measures against this  " problem's creator ",
      since he  (or she)  is mathematically illiterate and posts fake problems.



Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
It might help students more if instead of lambasting problem creators or the
students for miscopying problem or for not understanding what we think they
ought to understand, that we make up sensible problems similar as possible to
what they posted.  So I decided to do that instead.

I won't mix grams and kilograms, since it would be unusual and awkward to
measure weights of candy bars in kilograms. Also I'll change the 9% to 20% so
the answer will come out prettier. Here goes:
A candy manufacturer decided to decrease the weight of each candy bar
by 20% while retaining the price. What was the resulting percent increase
in the price per gram.
Suppose previously, a candy bar had sold for price p cents and weighed w grams.
 
Therefore the OLD price per gram was
 
 or 

Now the weight has been changed from w grams to 100%-20%=80% of w grams or 0.80w
grams.

Therefore the NEW price per gram is

  or  

Now we first compare the NEW price per gram to the OLD price per gram by
dividing the NEW by the OLD:



Invert and multiply:







Since the NEW price is 125% of the OLD price, it means the
new price has been increased 25% (over 100% of the OLD price).

So even though we cannot know the OLD or NEW price or the OLD
or NEW price per gram, we still know that the OLD price per 
gram, whatever it was, was increased by 25%.

Edwin


RELATED QUESTIONS

The candy shack sells their candy for $0.60 each. To make their profit,they increased... (answered by ankor@dixie-net.com)
Suppose that the wrapper of a candy bar lists its weight as 8 ounces. The actual weights... (answered by stanbon)
Twins Joanie and Tony each start out with the same number of cents. Joanie buys 1 candy... (answered by Theo,greenestamps)
terry bought some gum and candy. the number of packages of gum was one more than the... (answered by josmiceli)
Bob and Jessie each want to buy a candy bar. Jessie is 1 cent short to buy a candy bar... (answered by edjones)
For the fundraiser, Will sold 225 candy bars. He earns $1 for each almond candy bar he... (answered by ankor@dixie-net.com)
For the fundraiser, Will sold 225 candy bars. He earns $1 for each almond candy bar he... (answered by ikleyn)
The science club sold candy bars and soft pretzels to raised money. They raised a total... (answered by richwmiller)
A vendor, selling delicious 100-Grand bars and Twix bars, has space for 180 pieces of... (answered by richwmiller)