A sum of money is shared between Alice, ah and Sita in the ratio 3:2:4. If ah receives $4,287.50, how much money do Alice and Sita receive altogether.
there are 3+2+4 = 9 parts
a:g:s = 3:2:4, so g = 2 parts
that means 1 part is 2143.75
3*2143.75 : 2*2143.75 : 4:2143.75
= 6431.25 : 4287.50 : 8575.00
a+s = 15006.25
To find out how much money Alice and Sita receive altogether, we need to determine the total amount of money shared between the three of them.
Given that the ratio of the money shared is 3:2:4, we can express this as a fraction: 3/9, 2/9, and 4/9. These fractions represent the portion of the total money that each person receives.
Since we already know that ah receives $4,287.50, we can use her portion of the money (2/9) to find the total amount.
Let's set up a proportion:
(2/9) / (4287.50 / Total) = 1
To solve for the total amount, we can cross-multiply:
2/9 * Total = 4287.50
Multiply both sides by 9:
2 * Total = 4287.50 * 9
Simplify:
2 * Total = 38587.50
Divide by 2:
Total = 38587.50 / 2
The total amount shared between Alice, ah, and Sita is $19,293.75.
Now we can find out how much money Alice and Sita receive altogether.
To determine their portions, we can multiply the total amount ($19,293.75) by their respective fractions:
Alice's portion = (3/9) * 19293.75 = $6424.58
Sita's portion = (4/9) * 19293.75 = $8579.17
Therefore, Alice and Sita receive a total of $6,424.58 + $8,579.17 = $15,003.75 altogether.