SOLUTION: I am trying to figure out how what formula to use to solve this percentage decrease problem: "There are two bags with chocolate. Bag A has 30 pieces and Bag B has 24 pieces. Wha

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: I am trying to figure out how what formula to use to solve this percentage decrease problem: "There are two bags with chocolate. Bag A has 30 pieces and Bag B has 24 pieces. Wha      Log On


   



Question 1183124: I am trying to figure out how what formula to use to solve this percentage decrease problem:
"There are two bags with chocolate. Bag A has 30 pieces and Bag B has 24 pieces. What percent fewer does Bag B have than Bag A?"

Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
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I am trying to figure out how what formula to use to solve this percentage decrease problem:
"There are two bags with chocolate. Bag A has 30 pieces and Bag B has 24 pieces.
What percent fewer does Bag B have than Bag A?"
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We take the difference  30 - 24 = 6.


Next, we relate this difference to  |A| = 30,  since the bag A is the base for the comparison, according to the condition.


Then we multiply this ratio,  6%2F30,  by 100 to get percentage


    ANSWER  = %28%2830-24%29%2F30%29%2A100 = %286%2F30%29%2A100 = %281%2F5%29%2A100 = 20%.


ANSWER.  20%.

Solved and carefully explained.


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In many percentage problems,  THE  MAJOR  POINT  is to understand,  which of two or several instances is the base for the comparison.

Usually,  it is clear from the context,  but sometimes the reader  (the student)  should make  A  MENTAL  EFFORT  to get the correct understanding.