Question

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 pound with some orange pekoe tea that sells for $3 per pound to get 100 pounds 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 new blend versus selling the other types. how many pounds of the earl grey tea and orange pekoe tea are required?

Answer 1

Solution: 75 pounds of the earl grey tea and 25 pounds of the orange pekoe tea.
Method:
Let x = number of pounds of the earl grey tea
$5x + $3(100lbs - x) = $4.50 * 100lbs
5x + 300 - 3x = 450
2x = 150
x = 75
Number of pounds of the orange pekoe tea = 100 - 75 = 25