Question

John, Jack and Jason share an amount in the ratio of 4:3:7, respectively. If Jason received $32 more than Jack, what is the total amount they shared?

A. $64
B. $112
C. $148
D. $172
E. $96

Answer 1

The total amount shared by John, Jack, and Jason is $112.

Step-by-step explanation:

To find the total amount shared by John, Jack, and Jason, we need to determine the value of the ratio between them. Let's assume the shared amount is represented by x. According to the given ratio, John's share is 4x, Jack's share is 3x, and Jason's share is 7x.

Since Jason received $32 more than Jack, we can set up the equation 7x = 3x + $32. By subtracting 3x from both sides, we get 4x = $32. Dividing both sides by 4, we find that x = $8.

To find the total amount shared, we can add up the shares of John, Jack, and Jason: 4x + 3x + 7x = 14x = 14 * $8 = $112.