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Re: The cost per pound of tea and coffee were the same in June.

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DarkKnight06 wrote:
The cost per pound of tea and coffee were the same in June. In July, the price of coffee shot up by 200% and that of tea dropped by 90%. If in July, a mixture containing equal quantities of tea and coffee costs $4.65 for 3lbs, how much did a pound of tea cost in July?

A. $4
B. $0.1
C. $1
D. $3
E. $1.65


Price of tea in June = price of coffee in June = $x.

Price of tea in July = 0.1x (decrease by 90%).
Price of coffee in July = 3x (increase by 200%).

In July the price of 1.5 pound of tea and 1.5 pound of coffee (equal quantities) = $4.65:
0.1x*1.5 + 3x*1.5 = 4.65;
x = 1.

Price of tea in July = 0.1x = $0.1.

Answer: B.

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