Question 1170889
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<pre>

Let x be "the amount that each person paid after" (the unknown amount under the problem's question).


Then the original amount ("paid before") is (x-1) dollar.


The equation is


    {{{100/(x-1)}}} - {{{100/x}}} = 5   people.


The solution is OBVIOUS right from the equation  x = 5  dollars.      <U>ANSWER</U>


<U>CHECK</U>.  I will check the basic equation  {{{100/4}}} - {{{100/5}}} = 25 - 20 = 5 people.   ! Precisely correct !


Or, if you want to solve the equation formally, you need to reduce it to a quadratic equation and

then solve it by factoring or using the quadratic formula.
</pre>

You are answered, directed, instructed and inspired.


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To see many other similar solved problems, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/misc/Had-they-sold.lesson>Had they sold . . .</A>

in this site.



Happy learning (!)