dr. bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. the table shows the…

dr. bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. the table shows the amount of each solution used. what is the value of x? saline solution amount (liters) concentration total 5% saline 2 0.05 0.1 9% saline x 0.09 0.09x mixture 2 + x 0.08 0.64 3 4 5 6

dr. bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. the table shows the amount of each solution used. what is the value of x? saline solution amount (liters) concentration total 5% saline 2 0.05 0.1 9% saline x 0.09 0.09x mixture 2 + x 0.08 0.64 3 4 5 6

Answer

Answer:

6

Explanation:

Step1: Set up equation

The total amount of salt in the mixture is the sum of the salt in each solution. So, $0.1 + 0.09x=0.64$.

Step2: Isolate variable term

Subtract 0.1 from both sides: $0.09x=0.64 - 0.1$. $0.09x = 0.54$.

Step3: Solve for x

Divide both sides by 0.09: $x=\frac{0.54}{0.09}$. $x = 6$.