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90% acid solution (90% pure acid and 10% water) and 97% acid solution are mixed to obtain 21 litres of 95% acid solution. How many litres of each solution are mixed?

Answer:

Let the quantity of 90% acid solution be x litres and

The quantity of 97% acid solution be y litres

According to the question,

x + y = 21...(1)

and 90% of x + 97% of y = 95% of 21

"hello guys welcome back to the room work
i'm ravan kumar working as a tutor that
pluto
so today we are going to solve one
really very interesting question so
let's see how we can do it and now we
can solve here
so they have given that 90 percentage of
a acid solution
is prepared that is 90 percentage of
pure acid
and 10 percentage of water so that is 90
percentage of
acid solution and 97 percentage of
another acid solution
are mixed to obtain 21 liters of 95
percentage of
acid solution so that means so
first acid so let's assume that first
acid
be x liters okay and the second acid
be y liters okay so they have mixed with
x plus y
to get 21 liters okay so 21 liters of
acid
so this is our first equation let's
consider and the second one 90
percentage of x
90 percentage 90 by 100 into x
plus 97 percentage of y
right 97 by 100 into y
is equals to 21 liters 95
percentage off that is multiplied by 21
so here hundred and hundred and hundred
will be getting cancelled
and the the second equation you will be
getting 90 x plus
97 y is equals to that is
9 1995 right so this is our second
equation
now to this first equation multiplied by
90 here
so after multiplying by 90 you will get
the first equation as
90 x plus 90 y
is equals to eight one thousand eight
hundred and ninety so this is our first
equation
and then here 90 x plus 97
y is equals to 1995
these are the two equations here so just
subtract here so this end this will be
cancelled
and then here also subtraction will be
done minus seven y
is equals to here minus one not phi you
will get right
so y is equals to how much so y is
equals to 21 you will be getting the y
is equals to 21
so what is the x here so x plus y is
equal to 21 right
so x plus okay so it will be y is equals
to 21
and then yep so
yep so actually y is equals to 15 okay
so y is equals to 15 so actually 7 into
15 only the one or two right so 15 seven
zero
not right so that is why y is equal to
15 so x plus 15 is equals to 21
and then x is equals to 6 so i hope you
understand what i've done here
if you have any doubts please comment
below don't forget to subscribe to this
channel
thank you so much for watching and stay
tuned thank you"

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