Question

sum of money was distributed among three children Sonal,Priya and Prachi,respectively. Sonal and Priya received 1/6 and 1/8 of the sum and the remaining amount was given to Prachi.If Prachi received $ 1950 more than Sonal,then how much should Prachi give to Priya so that Prachi has a twice as much as Priya?

Answer 1

Solution . Mark me as brainliest.

Answer 2

Given:

3 children Sonal, Priya and Prachi

Amount received by Sonal = $\frac{1}{6}$th of sum

Amount received by Priya = $\frac{1}{8}$th of sum

To find:

Amount that Prachi should give to Priya.

Solution:

Let sum of money be $x$.

Sonal received $\frac{x}{6}$ and Priya received $\frac{x}{8}$.

Remaining amount received by Prachi

= $x-(\frac{x}{6}+\frac{x}{8})=x-(\frac{4x+3x}{24})=\frac{24x-7x}{24}=\frac{17x}{24}$

Let S be Sonal, P be Priya and C be Prachi.

if, C = 1950 + S

$\frac{17x}{24}=1950+\frac{x}{6}$

$\frac{17x}{24}-\frac{x}{6}=1950$

$\frac{17x}{24}-\frac{4x}{24}=1950$

$\frac{13x}{24}=1950$

$x=\frac{1950*24}{13}=3600$

Total sum = 3600

Sonal's amount = $\frac{x}{6}=\frac{3600}{6}=600$$

Priya's amount = $\frac{x}{8}=\frac{3600}{8}=450$$

Prachi's amount = $3600-(600+450)=2550$$

If Prachi's amount should be twice as much as Priya,

then, Prachi = 2 × Priya = 2 × 450 = 900$

Amount of money Prachi should give Priya = $2550-900=1650$$

Amount of money Prachi should give to Priya if Prachi has twice as much as Priya is 1650$