How many pounds of the earl grey tea and orange pekoe tea are required?

the manager of a store that specializes in selling tea decides to experiment with a new blend. she will mix some earl grey tea that sells for $5 per pund with some orange pekoe tea that sells for $3 per pound to get 100 punds of the new blend. the selling price of the new blend is to be $4.50 per pound, and there is to be no difference in revenue from selling the enw blend versus selling the other types.|||x = pounds of earl grey


y = pounds of pekoe





x + y = 100 ---%26gt; x = 100 - y





4.5 dollars a pound equals to 450 dollar for 100 pounds





5x + 3y = 450





Now, plug in the x -value obtained through the first equation, into the second equation:





5(100-y) + 3y = 450





Solve for y ---%26gt; y = 25





So we need 25 pounds of pekoe and 75 pounds of earl grey.