Question 711181
First, we interpretate words to math language. when in a text say "one time, twice, three time, any time" they wants say that we need multiply for on, two, three, or any number.

When they say "more" they wants to say that we need add some number.

Alan	 {{{x}}}
Bertie	 {{{3x}}}	
Carol    {{{3x+2}}}	

then, they have in total 51 cents, so the add of the three is 51: 

{{{Money_Alan + Money_Bertie + Money_Carol = 51}}}

so:

{{{( x) +( 3x) +( 3x+2) = 51 }}}

Now, we group like terms, and clears x:

{{{( x + 3x + 3x )+ 2 -2 = 51 -2}}}
{{{           7x + 0     = 49}}}
{{{            7x /7     = 49/7}}}
{{{            x         = 7}}}

Then, {{{x = 7}}}:
=======================================
Alan	 {{{x}}}
Bertie	 {{{3x}}}	
Carol    {{{3x+2}}}	
=======================================
Alan	 {{{x= 7}}} cents
Bertie	 {{{3x = 3(7) = 21}}} cents
Carol    {{{3x+2 = 3(7)+2 = 25}}} cents
=======================================
 
 Did you understand me?