Question 1053932
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A party of tourists booked a hotel for ₹1200. Three of the members failed to pay. 
{{{highlight(cross(Asa_result))}}} As a result, each of the others had to pay ₹ 20 more. How many tourists were there in the party? 
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<U>Solution 1</U>


<pre>
(1)  n*p          = 1200,
(2)  (n-3)*(p+20) = 1200.

Express p = {{{1200/n}}}  from (1) and substitute it into (2) to get a single equation for n.


{{{(n-3)*(1200/n+20)}}} = 1200.

Multiply both sides by n. You will get

(n-3)*(1200+20n) = 1200n.

Now simplify and solve for n.
</pre>


<U>Solution 2</U>


<pre>
{{{1200/(n-3)}}} - {{{1200/n}}} = 20.

Multiply by n*(n-3) both sides. You will get

1200*n - 1200*(n-3) = 20*n*(n-3).

Simplify and solve for n.
</pre>