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

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The cost per pound of tea and coffee were the same in June.  [#permalink]

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03 Jul 2013, 22:28
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68% (02:51) correct 32% (02:52) wrong based on 136 sessions

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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
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Posts: 59685
Re: The cost per pound of tea and coffee were the same in June.  [#permalink]

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03 Jul 2013, 22:58
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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.

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

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03 Jul 2013, 23:01
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

Lets assume price of Coffee in June = 100x
Price of Tea in June = 100x

Price of Coffee in July = 300x (because of 200% increase in price)
Price of Tea in July = 10x (because of 90% Decrease in price)

Price of 1.5 pound of Coffee & 1.5 pound of Tea in July will be = 450x + 15x = 465x
As per question
465x= 4.65\$
x = 0.01S
So the Price of Tea in July = 10x = 10 x 0.01 = 0.1\$/pound
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Re: The cost per pound of tea and coffee were the same in June.  [#permalink]

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03 Jul 2013, 23:03
fameatop wrote:
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

Lets assume price of Coffee in June = 100x
Price of Tea in June = 100x

Price of Coffee in July = 300x (because of 200% increase in price)
Price of Tea in July = 10x (because of 90% Decrease in price)

Price of 1.5 pound of Coffee & 1.5 pound of Tea in July will be = 450x + 15x = 465x
As per question
465x= 4.65\$
x = 0.01S
So the Price of Tea in July = 10x = 10 x 0.01 = 0.1\$/pound

You could simply say price of tea in June = price of coffee in June = \$x, instead of 100x.
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The cost per pound of tea and coffee were the same in June.  [#permalink]

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27 Feb 2018, 10:12
Top Contributor
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

Let x = price (PER POUND) of tea in JUNE
So, Let x = price (PER POUND) of coffee in JUNE

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

In July, a mixture containing equal quantities of tea and coffee costs \$4.65 for 3 lbs
So, the mixture has 1.5 lbs of tea and 1.5 lbs of coffee
We can write: (cost of 1.5 lbs of tea) + (cost of 1.5 lbs of coffee) = \$4.65
So: (1.5)(0.1x) + (1.5)(3x) = 4.65
Factor: 1.5(0.1x + 3x) = 4.65
Divide both sides by 1.5 to get: 0.1x + 3x = 3.1
Simplify: 3.1x = 3.1
So, x = 1
In other words, in JUNE the price of tea and coffee were each \$1 per pound.

Since the price of tea in JULY = 0.1x, the price of tea = (0.1)(1) = \$0.1 per pound

Cheers,
Brent
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Re: The cost per pound of tea and coffee were the same in June.  [#permalink]

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01 Mar 2018, 18:38
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

We can let x = the cost per pound of tea (or coffee) in June. Thus the cost of tea in July = 0.1x and the cost of coffee in July = 3x. (Note that a price increase of 200% is a tripling of the price.) Since the price of a mixture of equal quantities of tea and coffee is \$4.65 for 3 lbs, there must be 1.5 lbs of tea and 1.5 lbs of coffee. We can create the following equation:

1.5(0.1x) + 1.5(3x) = 4.65

0.15x + 4.5x = 4.65

4.65x = 4.65

x = 1

Thus, the cost of a pound of tea in July is 0.1(1) = \$0.1.

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

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17 Jun 2019, 23:55
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Re: The cost per pound of tea and coffee were the same in June.   [#permalink] 17 Jun 2019, 23:55
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# The cost per pound of tea and coffee were the same in June.

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