SOLUTION: The price of the coffee has increased by 25%. What percentage of coffee consumption is to be decreased, so that there would be no increase in the expenditure for a household.

Algebra ->  Algebra  -> Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The price of the coffee has increased by 25%. What percentage of coffee consumption is to be decreased, so that there would be no increase in the expenditure for a household.      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 207419This question is from textbook New Syllabus Mathematics Book 4
: The price of the coffee has increased by 25%. What percentage of coffee consumption is to be decreased, so that there would be no increase in the expenditure for a household.This question is from textbook New Syllabus Mathematics Book 4

Answer by josmiceli(3341) About Me  (Show Source):
You can put this solution on YOUR website!
Let p= the original price of coffee per pound
1.25p will be the new price of coffee per pound
Let c = consumption in pounds originally
Let a = the fraction of new consumption allowed
---------------------
The equation I want to be true is:
pc+=+1.25%2Ap%2Aa%2Ac
divide both sides by pc
1+=+1.25a
a+=+4%2F5
If 4/5 of the previous consumption is allowed, then
the past consumption must be reduced by 1%2F5 answer