Question

in what proportion should two type of gold one of 24 carat and another of 16 carat purity be mixed to get Gold of 18 carat

Answer 1

Should be mixed in the ration of 1:3

Answer 2

Answer:

The proportion is in 1:3.

Step-by-step explanation:

To find : In what proportion should two type of gold one of 24 carat and another of 16 carat purity be mixed to get Gold of 18 carat ?

Solution :

Let x gram of 24 carats and y grams of 16 carat of gold be mixed.

The mixed gold is of 18 carat.

According to question,

$\frac{24x+16y}{x+y}=18$

$24x+16y=18(x+y)$      

$24x+16y=18x+18y$    

$24x-18x=18y-16y$        

$6x=2y$      

$\frac{x}{y}=\frac{2}{6}$      

$\frac{x}{y}=\frac{1}{3}$    

or $x:y=1:3$    

Therefore, The proportion is in 1:3.