38 marbles are shared between John, David and Paul so that John gets twice as many as David. Paul gets 5 only. How many marbles does john get?

The total number of marbles John gets is 22 and this can be determined by forming the linear equation with help of the given data.

Given :

38 marbles are shared between John, David, and Paul so that John gets twice as many as David.
Paul gets 5 only.

The following steps can be used in order to determine the total number of marbles john gets:

Step 1 - Let the total number of marbles John have to be 'x', let the total number of marbles David have to be 'y', and let the total number of marbles Paul have to be 'z'.

Step 2 - So, the linear equation that represents the total number of marbles is:

x + y + z = 38 --- (1)

Step 3 - According to the given data, John gets twice as many as David, that is:

x = 2y --- (2)

Step 4 - According to the given data, Paul gets only 5 marbles, that is:

z = 5 --- (3)

Step 5 - Substitute the value of x and z in equation (1).

2y + y + 5 = 38

Simplify the above equation.

3y + 5 = 38

3y = 33

y = 11

Step 6 - Substitute the value of y in equation (2).

x = 2(11)

x = 22

So, the total number of marbles John gets is 22.

For more information, refer to the link given below:

https://brainly.com/question/11897796