Amy mixes 12 liters of 16% acid solution with a 40% acid solution which results in 32% acid solution. Let x represent the number of liters of 40% solution used. Which equation can be used to find the number of liters of 40% acid solution in the mixture? A. 1.92 + 0.32x = 0.4(x + 12) B. 3.84 + 0.4x = 0.16(x + 12) C. 4.8 + 0.32x = 0.4(x + 12) D. 1.92 + 0.4x = 0.32(x + 12)

Question

Amy mixes 12 liters of 16% acid solution with a 40% acid solution which results in 32% acid solution.  Let x represent the number of liters of 40% solution used. Which equation can be used to find the number of liters of 40% acid solution in the mixture?    A. 1.92 + 0.32x = 0.4(x + 12)    B. 3.84 + 0.4x = 0.16(x + 12)    C. 4.8 + 0.32x = 0.4(x + 12)    D. 1.92 + 0.4x = 0.32(x + 12)

whpalmer4 · Answer

Think of the amount of acid:

12 liters of 16% solution = 12*0.16 = 1.92 liters of acid in a total volume of 12 liters.

x liters of 40% = 0.4x liters of acid in a total volume of x liters.