Mr. Jeff divided his money in the ratio 4:2 between Jon and jack. Jon got the smaller amount of 1,256. How much did jack receive?

let the amounts be 4x and 2x

John's share is 2x

2x = 1256
x = 628

so Jack got 4x or 2512

(why not state the original ratio as 2:1 ?)

To find out how much Jack received, we need to calculate the total amount of money divided between Jon and Jack and then determine Jack's share.

Let's start by finding the total amount of money divided between Jon and Jack. The given ratio is 4:2, which means the total ratio is 4 + 2 = 6 parts.

Since Jon received 1,256, we can consider his share as being 4 parts out of the total 6 parts.

To find Jack's share, we can set up a proportion based on the ratio of Jon's share to Jack's share:

Jon's share / Jack's share = Jon's amount / Jack's amount

Substituting the known values:
4 / Jack's share = 1,256 / Jack's amount

To solve for Jack's amount, we can cross-multiply and find Jack's share:

4 * Jack's amount = 1,256 * Jack's share

Dividing both sides by 4:

Jack's amount = (1,256 * Jack's share) / 4

Since we are looking for Jack's share, we can set up the equation:

Jack's share + Jon's share = 6 parts

Substituting in the given values:
Jack's share + 4 parts = 6 parts

Simplifying the equation:
Jack's share = 6 parts - 4 parts
Jack's share = 2 parts

So, we know Jack's share is 2 parts.

Now, substituting the value of Jack's share back into the equation we found earlier:

Jack's amount = (1,256 * 2) / 4

After solving the equation:

Jack's amount = 628

Therefore, Jack received $628.

To find out how much Jack received, we need to determine the total amount of money that Mr. Jeff divided between Jon and Jack.

Let's assume that the total amount of money is represented by "x."

According to the given ratio of 4:2, we can set up the equation:

4x + 2x = Total amount of money

Combining like terms, we get:

6x = Total amount of money

Since we know that Jon received $1,256, we can write another equation:

2x = $1,256

To find x, we can divide both sides of the equation by 2:

x = $1,256 / 2
x = $628

Now that we know x, we can calculate how much Jack received:

4x = 4 * $628
4x = $2,512

Therefore, Jack received $2,512.