An alloy consists of two metals taken in the ratio 1:2 and another alloy consists of the same metals taken in the ratio 2:3. How many parts of the two alloys must be taken to obtain a new alloy consisting of the same metals which are in the ratio 1727?
Let say alloy 1 consists of metal m1 and m2 in ratio 1:2 and alloy 2 consists of metal m1 and m2 in ratio 2:3.
Now, combining both the alloys to form a new alloy.
So, according to given information 1x+2y=17 and 2x+3y=27Where,
x,y represents metal
m1 and
m2⟹2(17−2y)+3y=27⟹y=7
By replacing y=7, we get x=3
⟹ we need to take first alloy 3 parts and second alloy 7 parts