a sum of money is shared between Alice,Gahya&Sita in the ratio 3:2:4.if Gahya receives $4287.50,how much money do Alice and sita receive altogether?
Alice gets 1.5 times as much, and Sita receives twice as much as Gahya.
The ratio of the total to Gahya's amount is 9/2.
4.5 x $4287.50 = ________
To find out how much money Alice and Sita received altogether, we need to compute their combined share of the money.
Given that the ratio of the shared money is 3:2:4, and Gahya receives $4287.50, we can figure out the total amount of money shared by adding the parts of the ratio:
3 + 2 + 4 = 9
Now we divide the total amount of money by the sum of the parts in the ratio to find the value of one part:
Total money / Total parts = Value of one part
Let's calculate it:
Total money = Gahya's share / Gahya's part in the ratio = $4287.50 / 2 = $2143.75
Now we can find out how much Alice and Sita received altogether by summing up their shares:
Alice's share = Value of one part x Alice's part in the ratio = $2143.75 x 3 = $6431.25
Sita's share = Value of one part x Sita's part in the ratio = $2143.75 x 4 = $8575
Finally, we add the shares of Alice and Sita together:
Alice's share + Sita's share = $6431.25 + $8575 = $15006.25
Therefore, Alice and Sita received a total of $15006.25 altogether.