Question 1068262
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A class trip cost ₱6000. If there had been 10 more student, it would have cost each student ₱30 less.How many students took the trip?
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<pre>
Let "n" be the number of students in the "basic version".

Then the cost for one student is {{{6000/n}}}.


If there had been 10 more students, the cost for each would be {{{6000/(n+10)}}}.


The condition says:

{{{6000/n}}} = {{{6000/(n+10) + 30}}}.


It is your equation to find "n". To solve it, multiply both sides by n*(n+1). You will get

6000(n+10) = 6000*n + 30*n*(n+10),

Simplify

60000 = 30*n*(n+10),

2000 = n*(n+10).

The solution is obvious (for me): n = 40.


You can solve this quadratic equation by any method/way you want.
</pre>

<U>Answer</U>. 40 students in the basic version.