percent solution

Question

50 ounces of a 10% solution is added to 30 ounces of a 40% solution what is the percentage of the mix

Answer 1

The formula to solve this problem is C1V1 + C2V3 = C3V3, where C = concentration and V = Volume

 

let us change the % values to decimals, so we have 10% = 0.10, and 40% = 0.40

 

we know that the final volume (V3) will be 80 ounces

 

our equation becomes 50oz • 0.10 + 30oz • 0.40 = 80oz • x

 

5oz + 12oz = 80oz(x)

 

x = (5oz + 12oz) ÷ 80oz; x = 21.25%

 

Proof: 50oz x 0.10 + 30oz x 0.40 = 80oz x 0.2125; 5oz + 12oz = 17oz