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Math - Percent Increase

by moses
(new jersey)











































Before it was 18 cough drops for $0.50. now it is 16 for $0.60. what is the percent increase?

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Feb 16, 2011
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Math - Percent Increase
by: Staff


The question:

by Moses
(New Jersey)



Before it was 18 cough drops for $0.50. now it is 16 for $0.60. what is the percent increase?



The answer:

It might be easier to think about this question if it is rewritten in three steps:


What was the original cost PER COUGH DROP?

What is the cost now PER COUGH DROP?

What is the PERCENT INCREASE PER COUGH DROP?



The original cost per cough drop:

Original cost per cough drop = (original cost)/(number of cough drops in box)

Original cost per cough drop = ($.50)/(18 cough drops in the box)

Original cost per cough drop = 2.78 cents per cough drop ($0.0277777777777778 per cough drop)




The current cost per cough drop:

Current cost per cough drop = (current cost)/(number of cough drops in box)

Current cost per cough drop = ($.60)/(16 cough drops in the box)

Current cost per cough drop = 3.75 cents per cough drop ($0.0375 per cough drop)



% Increase in cost per cough drop:

% increase in cost per cough drop = 100*(Current cost per cough drop - Original cost per cough drop)/(Original cost per cough drop)

% increase in cost per cough drop = 100*(3.75 cents - 2.78 cents)/(2.78 cents)

% increase in cost per cough drop = 100*(.97 cents)/(2.78 cents)

% increase in cost per cough drop = 34.9%


The final answer is: 34.9% increase






Thanks for writing.


Staff
www.solving-math-problems.com


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