Question

In a laboratory Solution A will be mixed with Solution B in a ratio of 3 ml to 2 ml. How much of Solution A should be mixed with 10 ml of Solution B? Use any method to solve.

I need an answer and a strategy.

Answer 1

15 ml

Explanation:

We will use a proportion to solve this problem. A proportion is setting a ratio equal to another ratio.

We start with the known ratio.

ratio of A to B = A/B = 3/2

Now we write the ratio that contains A as an unknown.

We want the amount of solution B to be 10 ml. Let the amount of solution A be A.

The ratio is A/10.

A/10 and 3/2 must be equal.

A/10 = 3/2

When you set two ratios equal, you have a proportion.

Now we solve the proportion for A.

Cross multiply.

2 * A = 10 * 3

2A = 30

A = 15

Answer: 15 ml