Problema Solution

in what ratio should a grocer mix tea at rs3.10/-per kg with tea at rs4.35/-per kg to make a mixture worth rs3.25/-per kg

Answer provided by our tutors

let


x = kg of the tea at rs3.10/-per kg


y = kg of the tea at rs4.35/-per kg


we need to find x/y


3.10x + 4.35y = (x + y)3.25 divide both sides by y


3.10(x/y) + 4.35 = (x/y + 1)3.25


let t = x/y


by solving the equation:


3.10t + 4.35 = (t + 1)3.25


we find:


t = 22/3


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x/y = 22/3


the ratio of the tea at rs3.10/-per kg to tea at rs4.35/-per kg should be 22 to 3.