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Solution:
Given: Initial ratio of acid and water => 4:3
After adding 10litres of acid,It becomes => 3:1
let the ratio on x be water(in litres),
let the ratio on y be acid(in litres),
then,
let the ratio be x and y 4x=3y=> 4x-3y=0...(i)
after adding 10 litres 4x+10 : 3y = 3:1
(4x+10)/3=3y
4x+10=9y
4x-9y=-10...(ii)
(i)-(ii)=(4x-3y)-(4x-9y)=0-(-10)
4x-3y-4x+9y=10
6y=10
y=10/6
y=5/3 litres of acid
(i)... 4x=3y
4x=3(10/6)
4x=10/2
4x=5
x=5/4 litres of water
Given: Initial ratio of acid and water => 4:3
After adding 10litres of acid,It becomes => 3:1
let the ratio on x be water(in litres),
let the ratio on y be acid(in litres),
then,
let the ratio be x and y 4x=3y=> 4x-3y=0...(i)
after adding 10 litres 4x+10 : 3y = 3:1
(4x+10)/3=3y
4x+10=9y
4x-9y=-10...(ii)
(i)-(ii)=(4x-3y)-(4x-9y)=0-(-10)
4x-3y-4x+9y=10
6y=10
y=10/6
y=5/3 litres of acid
(i)... 4x=3y
4x=3(10/6)
4x=10/2
4x=5
x=5/4 litres of water
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