A 19-liter mixture consists by volume of 1 part juice to 18 parts water. If x liters of juice and y liters of water are added to this mixture to make a 54-liter mixture consisting by volume of 1 part juice to 2 parts water, what is the value of x?
A. 17
B. 18
C. 27
D. 35
E. 36
juice/water = 1/18 and x liters of juice and y liters of water are added to make a mixture consisting by volume of 1 part juice to 2 parts water, then 
equation. The new mixture is 54 liters; therefore, x + y = 54 – 19 = 35. The two simultaneous equations to be solved are 
equation and x + y = 35. Since the question asks for the value of x, substitute y = 35 – x into the fractional equation obtaining 
equation It follows that 2 + 2x = 18 + 35 – x or 3x = 51 so x = 17. The answer to this problem is (A).|
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