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A mother and her two daughters got a room constructed for ₹ 62,000. The elder daughter contributes 3/8 of her mother’s contribution while the younger daughter contributes ½ of her mother’s share. How much do the three contribute individually?

Answer:

From the question it is given that,

A mother and her two daughters got a room constructed for = ₹ 62,000

Let us assume mother’s share be x,

Then,

The elder daughter’s contribute = 3/8 of her mother’s share

= 3/8 x

The younger daughter’s contribute = ½ of her mother’s share

= ½ x

So, mother’s share + elder daughter’s share + younger daughter’s share = ₹ 62,000

x + (3/8) x + ½ x = ₹ 62,000

The LCM of the denominators 1, 8 and 2 is 8

(1/1) = [(1×8)/ (1×8)] = (8/8)

(3/8) = [(3×1)/ (8×1)] = (3/8)

(1/2) = [(1×4)/ (2×4)] = (4/8)

Then,

(8/8) x + (3/8) x + (4/8) x = 62,000

(8x + 3x + 4x)/8 = 62,000

(15x/8) = 62,000

15x = 62,000 × 8

X = 496000/15

X = ₹ 33,066.6

∴Mother’s share = ₹ 33,066.6

Elder daughter’s share = 3/8 of her mother’s share

= 3/8 x

= 3/8 × 33066.6

= ₹ 12,400

Younger daughter’s share = ½ of her mother’s share

= ½ x

= ½ × 33066.6

= ₹ 16,533.3

"hello students welcome to lido homework
let us solve the question which is given
on the screen today
it reads a mother and her two
daughters got a room constructed and the
cost of the room is given as 62
000 rupees now the elder daughter
contributes
three eighth of her mother's
contribution okay
of how much her mother contributed out
of which three
eighth part that much amount the elder
daughter contributed
while the younger daughter contributes
one by two of her mother's shares again
so how much do the three contribute
individually so this is a clear word
problem
and you can use a formation of linear
equation and then solve it to get the
amount of share that each one
contributed so let us see how we can do
this we can
first take since both the daughter's
share is compared with the mother's
share which we don't know so let us take
mother share as
x for more clarity okay so let
mother share
be rupees x is equal to
rupees x okay so elder daughter share is
how much
elder daughter
share is how much it
is 3 8 of her mother's contribution
that's what is written here
okay so it is 3 by 8 her mother
contribution is
x so this becomes 3 by x three by eight
x rupees
okay now younger daughter contribution
[Music]
younger daughter contribution
is equal to how much as per the given
information she shares
half of how much her mother share so
this becomes
half of x rupees so when we now have
the amount shared by all the three
people okay
now it is also given the total amount is
62. so if we add
all the three amounts it should be sorry
62 000. so let us add all the three
x plus 3 by 8
x plus 1 by
2 x when you add all the 3 shares
it is 62 000. so this is simple linear
equation we need to solve them
to solve it since all the three terms
are x term we are taking excess common
and adding the coefficients separately
1 plus 3 by 8 plus 1 by 2
is equal to 62
000 so this can be further simplified
as x and 2 here the denominator the lcm
of eight and two
is eight so this numerator becomes eight
plus three plus two fours are eight so
one fours of four
is equal to sixty two thousand
this can be further simplified as x
into fifteen
by 8 is equal to 62
000 so now we'll take the 15 by 8 on the
right hand side here it is multiplying
there it will divide so
there also it can multiply by its
reciprocal
according to the rule of division 62
000 into 8 by 15
so when you simplify it you get the
value of x
as rupees 3 three
zero six six point six six
okay so this is the amount her mother
has shared because
x value is this much so that is the
mother's share
we need to calculate both the daughter's
share
now so let us do that here
so you can write it as i'm just writing
d1
or elder daughter share
is equal to 3 by 8
into it is 33066.66 so when you
calculate you're getting the value
as rupees 1
12 400 so that is the
elder daughter share now the younger
daughter share
is 1 by 2 of
33066.6
which will give the answer as rupees
16533
now the mother share we already know so
i'll just put an
arrow and write mother
okay i hope it's clear if you still have
any doubt put a message in the comment
section
and subscribe to our channel for regular
updates bye
"

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