Bunuel
A certain 5-liter solution of floor cleaner consists of x liters of concentrated cleaner and y liters of water. How many liters of concentrated cleaner does the solution contain?
(1) x/y = 1/8
(2) x/5 = 1/9
VERITAS PREP OFFICIAL SOLUTION:Question Type: What Is the Value? This question asks for a specific value for the number of liters (x) of concentrated cleaner in the solution.
Given information from the question stem: 5 liters of solution = x liters of concentrated cleaner + y liters of water. Succinctly: x + y = 5.
Statement 1: x/y = 1/8 . This statement means that the ratio of x:y = 1:8. That means that 1/9 of the solution is concentrated cleaner. So 1/9 • 5 = x. So x = 5/9 of a liter. This is sufficient. The answer is either A or D.
Statement 2: x/5 = 1/9 . You may see immediately that this is sufficient, as it is one linear equation with one variable—and that variable, x, is what you’re asked to solve for. To see the math, you can cross-multiply to get 9x = 5. And if you divide both sides by 9 you get x = 5/9 of a liter. This is also sufficient.
The correct answer is D.