Problema Solution
Sumac sell for $1.15/oz. and thyme for $2.15/oz. How much of each do you use to make a 30-oz blend that sells for $1.95/oz.?
Answer provided by our tutors
let
s = oz of sumac
t = oz of thyme
by mixing s and t we obtain 30-oz blend that sells for $1.95/oz
s + t = 30
the cost of s oz sumac + the cost of t oz of thyme = the cost of the blend 30*1.95
1.15s + 2.15t = 10*1.95
by solving the system of equations
s + t = 30
1.15s + 2.15t = 30*1.95
we find
s = 6 oz
t = 24 oz
click here to see the step by step solution of the system of equations
we need to mix 6 oz of sumac and 24 oz of thyme.