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# Garcia purchased two kinds of premium coffee from Harbucks

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VP
Joined: 21 Jul 2006
Posts: 1490

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22 Nov 2008, 10:11
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Garcia purchased two kinds of premium coffee from Harbucks Colorado Coffee Emporium. If premium coffee is only sold in one pound bags and each pound of premium mild coffee costs \$2.10 and each pound of premium hearty costs \$2.30, how many pounds of premium mild did Garcia buy?

(1) The total value of the coffee Garcia purchased was \$17.80
(2) If Garcia had purchased 1 more pound of each type of coffee he would have spent \$22.20

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Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
Re: DS: try this one [#permalink]

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22 Nov 2008, 11:23
D

Equations from both A and B are the same.

2.3x + 2.1 y = 17.8

This equation only works for one combination, when x = 5 and y = 3

Last edited by LiveStronger on 22 Nov 2008, 11:28, edited 1 time in total.
Intern
Joined: 21 Nov 2008
Posts: 4
Re: DS: try this one [#permalink]

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22 Nov 2008, 11:27
2.1m + 2.3h = 17.8........ Not suff
2.1(m+1) + 2.3(h+1)= 22.2..... Not suff
=> 2.1m +2.1 + 2.3h + 2.3 = 22.2
=> 2.1m + 2.3h = 17.8

Both give the same equation => Together not suff.

=> E

--edit--
ah yes, good point above, agree that it should be D.
Intern
Joined: 26 Sep 2008
Posts: 19
Re: DS: try this one [#permalink]

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22 Nov 2008, 19:55
I think this is a trick.
We have equation:
2.3x + 2.1y=17.8
and we think we can't resolve it but we need to remember x and y are positive integers
From this we have :
0<x<=7;0<y<=8
we have :
23x+21y=178
or 21y=178-23x
we can see 21y is divisible by 3 so (178-23x) is divisible by 3.
otherwise,178=3*59+1
so 23x=3k+1 or (3*7+2)x=3k+1.From this, x must equal (3l+2) then x= 2 or 5.Try each of these number we can see the result of y

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: DS: try this one   [#permalink] 22 Nov 2008, 19:55
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