Problema Solution

A tea merchant wants to make 30 pounds of a blended tea costing $5.30 per pound. The blend is made using a $6.50-per-pound grade of tea and a $4.25-per-pound grade of tea. How many pounds of each grade of tea should be used?

Answer provided by our tutors

let


x = lbs of $6.50-per-pound grade of tea


y = lbs of $4.25-per-pound grade of tea


A tea merchant wants to make 30 pounds of a blended tea costing $5.30 per pound:


x + y = 30


6.50x + 4.25y = 5.30*30


by solving the above system of equations we find:


x = 14 lbs


y = 16 lbs


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14 pounds of the $6.50-per-pound grade of tea and 16 pounds of the $4.25-per-pound grade of tea should be used for the mix.