Question

A chemist needs 130 milliliters of a 47% solution but has only 35% and 87% solutions available. Find how many milliliters of each that should be mixed to get the desired solution

Answer 1

Answer: Amount of 35% solution required = 100 milliliters

Amount of 87% solution required = 30 milliliters

Explanation:

Given: Total solution required = 130 milliliters

Let x = Amount of 35% solution (in milliliters).

Then, Amount of 87% solution required = 130 - x

As per given,

Concentration = 0.35x +0.87(130-x)=0.47(130)

`0.35x +113.1-0.87x=61.1\\\\\Rightarrow\ -0.87x+0.35x=61.1-113.1\\\\\Rightarrow\ -0.52 x= -52\\\\\Rightarrow\ x=(52)/(0.52)=100`

Hence, Amount of 35% solution required = 100 milliliters

Amount of 87% solution required = 130-100 milliliters =30 milliliters