Concentrations of three type of milks X, Y and Z are 10%, 20% and 30% respectively. They are mixed in the ratio 2:3:P resulting in a 23% concentrations solution. Find P. (1) 7 (2) 6 (3) 5 (4) 4
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✍️ Concentrations of three solutions ... and
40% respectively They are mixed in the
ratio 3 : 5 : x resulting in a solution of 30% ...
the amount of A in the solution is 20×3g=60g
in 100×3g=300g of water, ... the amount of C
in the solution is 40×xg=40xg in 100×xg=100xg
of water.
Answer:
The amount of A in the solution is 20g in 100g of water,
The amount of B in the solution is 30g in 100g of water,
The amount of C in the solution is 40g in 100g of water.
After mixing
the amount of A in the solution is 20×3g=60g in 100×3g=300g of water,
the amount of B in the solution is 30×5g=150g in 100×5g=500g of water,
the amount of C in the solution is 40×xg=40xg in 100×xg=100xg of water.
So the final solution contains (60+150+40x)g=(210+40x)g of the given substances in (300+500+100x)g=(800+100x)g of water.
So the concentration, which is 30% is,
800+100x
210+40x
=
100
30
⟹2100+400x=2400+300x
⟹100x=300
⟹x=3.
Ans- Option C