The Black's assets are to be divided among their three children Josh, Sanjeev, and Alan in the ratio of 8 : 6 : 3. For full marks your answer(s) should be rounded to the nearest cent.
a) If Josh received $9,500 from the sale of securities, what amount should Alan receive?
Answer!
J:S:A
8:6:3
$9,500:-:?(x)
9,500*3=8x
28,500/8=x
3,562.5=x
b) What amount should Sanjeev receive from the sale of his parents' boat for $32,000?
Answer!
32,000*6=8x+3x+6x
192,000/17=x
11,294.12=x
Answer for (a)3,562.5
Answer for (b)11,294.12
i hope i gotthis right too:)
by the way if i want to round this to the nearest tenth how do i do it. 2.9474--> is it 2.9 or 3?:S
a. Right -- but rounding to the nearest cent makes it C$3,562.50
b. Right.
Rounding 2.9474 to the nearest tenth is 2.9
Thnx so much!!!
You're very welcome, Thara.
Yes, your answers for both parts (a) and (b) are correct. Well done!
To explain how you got the answers:
a) The ratio of the assets to be divided among the three children is given as 8:6:3, which means Josh will receive 8 parts, Sanjeev will receive 6 parts, and Alan will receive 3 parts.
Since we know that Josh received $9,500, we can set up the following equation:
8 parts = $9,500
To find the value of 1 part, we divide $9,500 by 8:
$9,500 / 8 = $1,187.50 (rounded to the nearest cent)
Now, to find the amount Alan should receive, we multiply 3 parts by the value of 1 part:
3 parts * $1,187.50 = $3,562.50 (rounded to the nearest cent)
Therefore, Alan should receive $3,562.50.
b) We are given the amount from the sale of the parents' boat, which is $32,000.
Using the same ratio, we have:
8 parts + 6 parts + 3 parts = $32,000
To find the value of 1 part, we divide $32,000 by 17:
$32,000 / 17 = $1,882.35 (rounded to the nearest cent)
To find the amount Sanjeev should receive, we multiply 6 parts by the value of 1 part:
6 parts * $1,882.35 = $11,294.12 (rounded to the nearest cent)
Therefore, Sanjeev should receive $11,294.12.
Great job on solving these problems!