Average problem 2 by Dhaval Furia

Algebra Level pending

The strength of a salt solution is $p\%$ if $100$ ml of the solution contains $p$ grams of salt.

Each of three vessels A , B , C contains $500$ ml of salt solution of strengths $10\%$ , $22\%$ , and $32\%$ , respectively. Now, $100$ ml of the solution in vessel A is transferred to vessel B . Then, $100$ ml of the solution in vessel B is transferred to vessel C . Finally, $100$ ml of the solution in vessel C is transferred to vessel A .

The strength, in percentage, of the resulting solution in vessel A is $_____$

14

12

15

13

1 solution

A Former Brilliant Member
May 17, 2020

When $100$ ml. of solution from the first vessel is poured into the second, the concentration of the solution in the latter becomes $\dfrac{5\times 22+10}{600}=20\%$ .

When $100$ ml. of solution from the second is poured into the third the concentration of the latter becomes $\dfrac{5\times 32+20}{600}=30\%$ .

When $100$ ml. of solution from the third is poured into the first, the concentration of the latter becomes $\dfrac{4\times 10+30}{500}=\boxed {14\%}$ .

Average problem 2 by Dhaval Furia

1 solution

0 pending reports