Question

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collection is eleven less than five times John’s collection, and three times Jonathan’s collection is three less than seven times John’s collection. The number of postage stamps in John’s collection is .

Answer 1

John n. of stamps = N
Johan n. of stamps = n = Johnathan n. of stamps

2n = 5N -11
3n = 7N -3

So with some pen and paper work we get to the final result which is 
N=27
n=62

Answer 2

Answer:

The number of stamps in John’s collection is 27.

Step-by-step explanation:

Consider the provided information.

John, Johan, and Jonathan collect postage stamps.

Let x represents the number of stamps in John’s collection.

Johan and Jonathan have the same number of stamps.

Let y represents the number of stamps in Johan or Jonathan's collection.

Two times Johan’s collection is eleven less than five times John’s collection,

This can be written as:

$2y=5x-11$

$y=\frac{5x-11}{2}$......(1)

Three times Jonathan’s collection is three less than seven times John’s collection.

This can be written as:

$3y=7x-3$

Now solve the equations by substituting the value of y from equation 1.

$3(\frac{5x-11}{2})=7x-3$

$3(5x-11)=2(7x-3)$

$15x-33=14x-6$

$x=-6+33$

$x=27$

Hence, the number of stamps in John’s collection is 27.