Question

HELP. Georgina wants to make a 42% citric acid solution. If she has 0.5 liters of water, how many liters of a 49% citric acid solution should she add?

Answer 1

Answer:

Georgina should add 3 liters of 49% citric acid solution.

Step-by-step explanation:

let x be the liters of 49% solution that Georgina should add. Then after she has added 0.5 liters of water, the total liters of solution she has will be

$x+0.5$

and 42% of this should be the solute:

$0.42(x+0.5)$

and since adding water does not add any solvent, this amount must come from the 49% citric acid solution; therefore

$0.42(x+0.5)=0.49x$

Solving for $x$ we get:

$\boxed{x= 3\:liters}$

This the amount of 49% citric acid solution Georgina must add.