Question

Purploxide is 16% acid and yellowgen is 6% acid. Catalina adds some purploxide to 30mL of yellowgen. What is the volume of the resulting solution if the mixture is 12% acid

Answer 1

Answer:

Catalina has 30 mL of yellowgen, of which 6%, or (0.06)(30) = 1.8 mL is acid. To that

she adds p mL of purploxide, of which 16%, or 0.16p mL is acid. The resulting yellowgen

and purploxide solution has a total volume, in milliliters, of 30 + p. We are told that 12%,

or (0.12)(30 + p) = 3.6 + 0.12p mL of this mixure is acid. Since the 1.8 mL of acid from

the yellowgen and the 0.16p mL of acid from the purploxide combined make up the

3.6 + 0.12p mL of acid in the mixture, we have the equation 1.8 + 0.16p = 3.6 + 0.12p.

Solving for p, we get 0.04p = 1.8, meaning the volume of purploxide that Catalina adds

is p = 45 mL, and the volume of the resulting solution is 30 + p = 30 + 45 = 75 m