Question

A mixture is made with 45 ounces of a 10% saline solution and $x$ ounces of a 70% saline solution. The resulting mixture is a 25% saline solution. What is the value of $x$

Answer 1

x = 15 ounces

Explanation:

A mixture is made with two types of solutions.

Solution A - 45 ounces of 10% saline solution

Solution B - x ounces of 70% saline solution

Resulting mixture - (x + 45) ounces of 25% saline solution

To get the value of x, equation will be,

(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25

4.5 + 0.70x = 0.25x + 11.25

0.25x - 0.70x = 4.5 - 11.25

-0.45x = -6.75

x =
`(6.75)/(0.45)`

x = 15 ounces