Question

divide the sum of rs 1350 among a, b and c such that b gets equal to one third of a ,c gets equal to half of b

Answer 1

here is your answer.......

Answer 2

'a' will get = ₹900

'b' will get = ₹300

'c' will get = ₹150

Step-by-step explanation:

Given:

Total Amount of Money = 1350

Total Money to be distributed among a, b, c.

Let the amount 'a' will get be 'x'.

Now Given:

b gets equal to one third of a

Amount 'b' will get = $\frac{1}{3}x$

Also Given:

c gets equal to half of b.

Amount 'c' will get = $\frac{1}{3}\times x\times \frac{1}{2} = \frac{1}{6}x$

Now we know that Total Amount is equal to sum of amount 'a' will get and Amount 'b' will get and Amount 'c' will get.

framing in equation form we get;

$x+\frac{1}{3}x+\frac{1}{6}x=1350$

Now taking LCM to make the denominator common we get;

$\frac{6x}{6}+\frac{1\times2}{3\times2}x+\frac{1\times1}{6\times1}x=1350\\\\\frac{6x}{6}+\frac{2}{6}x+\frac{1}{6}x=1350\\\\\frac{6x+2x+x}{6}=1350\\\\9x=1350\times6\\\\x=\frac{1350\times6}9 = 900 \ rupees$

So Amount 'a' will get = ₹900

Now Amount 'b' will get = $\frac{1}{3}x=\frac{1}{3}\times900$ = ₹300

Amount 'c' will get = $\frac{1}{6}x=\frac{1}{6}\times900$ = ₹150