Question

In a lab a 30% acid solution is being mixed with a 5% solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of the 5% solution used to create the 10% solution

Answer 1

1:4

Step-by-step explanation:

• 30% solution = x

• 5% solution = y

then

• 10% solution = x + y

Amount of acid:

• 0.3x + 0.05y = 0.1(x+y)
• 0.3x + 0.05y = 0.1x + 0.1y
• 0.2x = 0.05y
• 20x = 5y
• 4x = y
• x/y = 1/4

So the ratio of 30% solution to the 5% solution is 1:4