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 $4 per pound with some Orange Pekoe te

Question 1044025: 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 $4 per pound with some Orange Pekoe tea that sells for $2 per pound to get 300 pounds of the new blend. The selling price of the new blend is $3.50 per pound and there is no difference in revenue from selling the new blend versus selling the other types. How many pounds of Earl Grey tea and Orange Pekoe tea are required?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the number of pounds of $4 tea. Then

must be the amount of $2 tea. The value of the $4 tea must be

and the value of the $2 tea must be

. And the value of 300 lbs of $3.50 tea is $1050. So:

Solve for

then calculate

Actually, this is an utterly ridiculous question. Earl Grey is a STYLE of tea, generally black tea (a TYPE of tea) with a bit of bergamot flavouring. Orange Pekoe is a GRADE of tea, basically medium or standard grade of any kind of tea. Mixing Earl Grey with Orange Pekoe is a completely ludicrous idea.

John

My calculator said it, I believe it, that settles it

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