A sum of money was to be divided among A, B, and C in the ratio 2 : 3 : 5. The largest share amounts to $1200.
To find the total sum of money, you can set up the following equation:
2x + 3x + 5x = Total sum of money
Since the largest share is $1200, we can set up another equation:
5x = $1200
Now, solve for x:
x = $1200 / 5
x = $240
To find the total sum of money, substitute the value of x into the first equation:
2($240) + 3($240) + 5($240) = Total sum of money
$480 + $720 + $1200 = Total sum of money
Total sum of money = $2400
Therefore, the total sum of money is $2400.
To find the total amount of money, we need to determine the value of one share.
Let's assume the value of one share is x dollars.
According to the given ratio, we can express the shares of A, B, and C as follows:
A's share = 2x dollars
B's share = 3x dollars
C's share = 5x dollars
We know that the largest share, which is C's share, is equal to $1200. Therefore, we can set up the following equation:
5x = 1200
To find the value of x, divide both sides of the equation by 5:
x = 1200/5
x = 240
Now that we have found the value of one share, we can calculate the total amount of money by multiplying the value of one share by the sum of the ratios:
Total amount of money = (2x + 3x + 5x) dollars
= (2 + 3 + 5) * x dollars
= 10 * x dollars
= 10 * 240 dollars
= $2400
Therefore, the total amount of money to be divided among A, B, and C is $2400.
A gets 2 x
B gets 3 x
C gets 5 x = 1200
so
x = 1200/5 = 240
2 x = A = 480 etc