the ratio of the volume in bottle P to the volume of water in bottle Q is 3 : 4.Rajeev drank 40ml of the water form bottle P and then the ratio becomes 13 : 20.How much water was there in bottle P at first??
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Let x be the volume of water in P
and y be the volume of water in Q
Ratio of P:Q before Rajeev drinks water=3:4
there fore, x/y=3/4
Volume of water in P after Rajeev drank water=x-40
then ratio become x-40/y=13/20
Let consider x/y=3/4
4x=3y.
4x-3y=0. (1)
x-40/y=13/20
20x-800=13y.
20x-13y=800. (2)
multiply (1) by 5
20x-15y=0. (3)
substract (1) from (3)
20x-13y=800
-20x-(-15y)=-0
0. 2y=800
y=400
substitute y=400 in (1)
4x-3y=0
4x-3(400)=0
4x=1200
x=300
there fore, 300ml water is there in bottle P
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