You need a $15 %$ acid solution for a certain test, but your supplier only ships $5 %$ solution and $17.5 %$ solution. If you need $20$ liters of $15 %$ acid solution, how many liters of $5 %$ and $17.5 %$ solution do you need?

Open in App

Solution

Finding the required amount of solution:
Considering the amount of $5 %$ solution is $= x$
Then the $17.5 %$ solution will be $20 - x$
The required $15 %$ solution contains $= 0.15 \times 10 = 1.5$ of acid.
Acid in $5 %$ solution will provide $= 0.05 \times x$
Acid in And the $17.5 %$ solution will provide $= 0.175 \times (20 - x)$
Therefore,
$\Rightarrow 0.05 x + 0.175 (20 - x) = 1.5 \Rightarrow 0.05 x + 3.5 - 0.175 x = 1.5 \Rightarrow 0.125 x = 2 \Rightarrow x = 16$
Hence, you will need $16 L$ of the $5 %$ solution.

Suggest Corrections

Similar questions

A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it.The resulting mixture is to be more than 4% but less than 6% boric acid.If there are 640 liters of the 8% solution,how many liters of 2% solution will have to be added ?

You are giving a patient $3 c c / m i n$ of a given solution intravenously. If this continues for $24$ hours, how many liters of this solution will you need?

You are giving a patient $2.5 \frac{c c}{m i n}$ of a given solution intravenously. If this continues for $8$ hours, how many liters of this solution will you need?

Five liters of 31.2% acid solution has to be made out of a 40% and a 18% acid solution. How many litres of each of the 40% and 18% solution need to be mixed?

90%acid solution (90%pure acid &10%water) and 97% acid solution are mixed to obtain 21 liters of 95% acid solution. How many liters of each solution are mixed?

Join BYJU'S Learning Program

You need a 15% acid solution for a certain test, but your supplier only ships 5% solution and 17.5% solution. If you need 20 liters of 15% acid solution, how many liters of 5% and 17.5% solution do you need?

You need a $15 %$ acid solution for a certain test, but your supplier only ships $5 %$ solution and $17.5 %$ solution. If you need $20$ liters of $15 %$ acid solution, how many liters of $5 %$ and $17.5 %$ solution do you need?