BTGmoderatorDC wrote:A chef mixes P ounces of 60% sugar solution with Q ounces of a 10% sugar solution to produce R ounces of a 25% sugar solution. What is the value of P?
(1) Q = 455 mL
(2) R = 650 mL
OA D
Source: Magoosh
From the given information, we have 60% of P + 10% of Q = 25% of R
We know that R = P + Q
Thus, from 60% of P + 10% of Q = 25% of R, we have 0.6P + 0.1Q = 0.25R
Let's take each statement one by one.
(1) Q = 455 mL
From 0.6P + 0.1Q = 0.25R, we have 0.6P + 0.1Q = 0.25(P + Q) => 0.6P + 0.1*455 = 0.25(P + 455). This is a linear equation; we can get the unique value of P. Sufficient.
(2) R = 650 mL
From 0.6P + 0.1Q = 0.25R, we have 0.6P + 0.1(R - P) = 0.25R => 0.6P + 0.1(660 - P) = 0.25*660. This is a linear equation; we can get the unique value of P. Sufficient.
The correct answer:
D
Hope this helps!
-Jay
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