Two alloys contain zinc and copper in the ratio of 2:1 and 4:1. in what ratio the two alloys should be added together to get as new alloy having zinc and copper in the ratio of 3:1?
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Answered by
18
Let the ratio be x : y .
So, amount of the alloy ( 2 : 1 ) = 2x Zn + x Cu
So, amount of the alloy ( 4 : 1 ) = 4y Zn + y Cu
Amount of Zn in alloy with ratio 3 : 1
= 2x + 4 y
Amount of Cu in alloy with ratio 3 : 1
= x + y
As ( 2x + 4y ) / ( x + y ) = 3 / 1
or, 2x + 4y = 3x + 3y
or, y = x
or, x / y = 1 / 1
So, the ratio is 1 : 1.
So, amount of the alloy ( 2 : 1 ) = 2x Zn + x Cu
So, amount of the alloy ( 4 : 1 ) = 4y Zn + y Cu
Amount of Zn in alloy with ratio 3 : 1
= 2x + 4 y
Amount of Cu in alloy with ratio 3 : 1
= x + y
As ( 2x + 4y ) / ( x + y ) = 3 / 1
or, 2x + 4y = 3x + 3y
or, y = x
or, x / y = 1 / 1
So, the ratio is 1 : 1.
it's asking in what ratio should the two alloys be added to get ratio of 3:1 . But you just added the two alloys ratio i.e., 2:1 = 3 and 4:1=5 and 3:5 you wrote ....which is not a correct answer. please check again. Thanks. 1 : 1 as i calculated is correct and has full explanation and if you see anything wrong there ...u can tell.
Answered by
7
as I given in the photo
it is clear
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Similar questions
We can let the ratio of the second alloy of copper to zinc = 4y : y
We can create the equation:
(2x+4y):(x+y)=3:1
→x:y=1:1
So, 3x/5y=3/5{As Total volume of A=2x+x=3x, total volume of B=4y+y=5y}
Ans:3:5