a sum of money is divided among,bill,carl in the ratio 2:3:5.if carl receives $27 more than bill,how much does bill receives
Flaw in problem:
Two persons mentioned, but 3 terms in the ratio
To solve this problem, we can first determine the total ratio of the division, which is 2 + 3 + 5 = 10. Then we can find the value of 1 part of the ratio by dividing the total amount of money by 10.
Let's assume that 1 part of the ratio is equal to x dollars. Therefore, we can calculate the total amount of money as 10x dollars.
Since Carl receives $27 more than Bill, we can establish the following equation:
5x = 2x + $27
To solve this equation, we subtract 2x from both sides:
3x = $27
Next, we divide both sides of the equation by 3 to isolate x:
x = $9
Now that we know the value of 1 part of the ratio, we can calculate how much Bill receives by multiplying 2 (Bill's share) by x:
Bill receives 2x = 2 * $9 = $18.
Therefore, Bill receives $18.