SOLUTION: Srividya gets a certain amount of money on retirement.She deposit half the money in the bank,gives her daughter half of the remaining and an additional sum of Rs. 6000. She gives h

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Question 1039123: Srividya gets a certain amount of money on retirement.She deposit half the money in the bank,gives her daughter half of the remaining and an additional sum of Rs. 6000. She gives her son the remaining amount which is found to be half of what she gave her daughter. What is the amount Srividya received on retirement.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x equal the amount she had at retirement.

she deposits half of that in the bank.
she deposited 1/2 * x in the bank.
she had 1/2 * x left.

she gives half of that to her daughter plus 6000.
her daughter gets 1/2 * 1/2 * x + 6000.
she has she has 1/2 * x minus 1/2 * 1/2 * x - 6000 left.

she gives that to her son.
that is equal to 1/2 of what she gave to her daughter.
what she gave to her daughter is 1/2 * 1/2 * x + 6000.
what she had left is 1/2 * x minus (1/2 * 1/2 * x + 6000).

this means that 1/2 * x minus (1/2 * 1/2 * x + 6000) = 1/2 * (1/2 * 1/2 * x + 6000).
simplify this to get 1/2 * x minus 1/4 * x - 6000 = 1/2 * (1/4 * x + 6000).
combine like terms to get 1/4 * x - 6000 = 1/8 * x + 3000.
subtract 1/8 * x from both sides of this equation and add 6000 to both sides of this equation to get 1/4 * x - 1/8 * x = 3000 + 6000.
combine like terms to get 1/8 * x = 9000.
multiply both sides of this equation by 8 to get x = 72000.

72000 is what she had originally.
she put half of that in the bank.
36000 went to the bank.
she had 36000 left.

she gave half of that plus 6000 to her daughter.
she gave her daughter 18000 + 6000 = 24000.
she has 12000 left.

she gave that to her son.
12000 that she gave to her son was half of the 24000 that she gave to her daughter.

the solution looks good.

the solution is that she received 72000 on retirement.