some money is shared between Ali,Ben & Carl in the ratio 5:3:2.Ben receives $60.How much money is shared?
you have to find the numbers that make up 60 and 20 is the number being used in the ratio because of factorization. so the answer is 5*20+3*20+2*20 which equals 200 dollars so 200 dollars is the answer
To find out how much money is shared between Ali, Ben, and Carl, we need to determine the total amount of money represented by the ratio.
Let's assume the total amount of money is x dollars.
According to the ratio, the shares can be calculated as follows:
Ali's share = (5/10) * x
Ben's share = (3/10) * x
Carl's share = (2/10) * x
Given that Ben's share is $60, we can set up the equation:
(3/10) * x = 60
To solve for x, we multiply both sides of the equation by 10/3:
x = (60) * (10/3) = $200
So, the total amount of money shared is $200.
To find out how much money is shared, we can first determine Ben's share using the given ratio and the amount of money he received.
The ratio of money shared between Ali, Ben, and Carl is given as 5:3:2. Since Ben's share is $60, we can set up the following equation:
Ben's share / Ben's ratio = Amount received by Ben
Let's substitute the values:
Ben's share / 3 = $60
Now, solving for Ben's share:
Ben's share = 3 * $60
Ben's share = $180
Now that we have found Ben's share, we can calculate the total amount of money shared by adding the respective shares of all three individuals:
Ali's share = 5 * Ben's share ratio
Ali's share = 5 * $180
Ali's share = $900
Carl's share = 2 * Ben's share ratio
Carl's share = 2 * $180
Carl's share = $360
To find the total amount shared, we sum up the individual shares:
Total amount shared = Ali's share + Ben's share + Carl's share
Total amount shared = $900 + $180 + $360
Total amount shared = $1,440
Therefore, the total amount of money shared between Ali, Ben, and Carl is $1,440.