Question 1187538
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A group of graduating students rented a bus for their field trip for 6,000. 
10 of the students withdraw from the trip and as a result the share of the others was increased by 20 pesos. 
How many were in the original field trip?
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<pre>
Let n be the number of students originally.


Write equation as you read the problem


    {{{6000/(n-10)}}} - {{{6000/n}}} = 20      pesos.


To simplify, divide both sides by 20


    {{{300/(n-10)}}} - {{{300/n}}} = 1.


From this point, you may guess the solution mentally: it is  n = 60.


Alternatively, you can reduce this equation to the standard quadratic form and solve it formally,
using the quadratic formula or factoring.


<U>CHECK</U>.   I will check the original equation  {{{6000/(60-10)}}} - {{{6000/60}}} = {{{6000/50}}} - {{{6000/60}}} = 120 - 100 = 20 pesos.   ! Correct !


<U>ANSWER</U>.  There were 60 students originally.
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Solved.