The bartender made a mixture of two liquors worth Php120.00 and Php320.00 per liter respectively. She made 10 liters of the combination to be sold at Php310.00 per liters. How many liters of each liquor did she blend?

1
by luigieyambao

2014-05-13T21:47:27+08:00

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Let x be the liquor worth 320Php ; 10-x be the liquor worth 120Php

320x + 120 (10 -x) = 310 (10)

320x + 1200 -120x = 3100

320x -120x = 3100 -1200

200x = 1900

x = 19/2 = 9.5

Therefore, she blended 9.5L of the liquor worth 320Php and 0.5L of liquor worth 120Php

can you please explain further the relation of the 310 per liter?
mixing the two liquors produces a mixture that is worth 310Php per liter. That is what the first eqation means
so how do i get the total of 310 per liter? Sorry.. Im really lost.. I've been doing this kind of thing the whole day. And this last one really irritates me... :/ :(
It was a given