SOLUTION: 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 $6 per pound with some Orange Pekoe t

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Question 790600: 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 $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $5.50 per pound, and there is to be no difference in revenue from selling the new blend versus the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
Answer by lwsshak3(11628) About Me  (Show Source):
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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 $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $5.50 per pound, and there is to be no difference in revenue from selling the new blend versus the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
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let x=amount of Earl Grey tea to mix
300-x=amount of Orange Pekoe tea to mix
..
6x+4(300-x)=5.5*300
6x+1200-4x=1650
2x=450
x=225
300-225=75
..
amount of Earl Grey tea to mix=225 pounds
amount of Orange Pekoe tea to mix=75 pounds