Problema Solution

In a recent taste test survey it was found that 5/7 of all people surveyed preferred the taste of "a" chicken over "b" chicken. If 3,500 people were in the survey, how many favored "a"? How many chose "b"?

Answer provided by our tutors

let


a = the number of people that favored "a"


b = the number of people that favored "b"


5/7 of all people surveyed preferred the taste of "a" chicken over "b" chicken:


a = (5/7)*3500


3,500 people were in the survey:


a + b = 3500


by solving the system of equations:


a = (5/7)*3500


a + b = 3500


we find:


a = 2,500 people preferred taste of "a" chicken


b = 1,000 people preferred taste of "b" chicken


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