Question 1096018
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<pre>
Let n be the number of people and "b" be the number of benches.


Then the condition gives you these two equations:

{{{n/4}}} = b + 1,    (1)

{{{n/6}}} = b - 4.    (2)


It is literal translation of the condition to equations.


You can rewrite eqs (1) and (2) in the form

n = 4b +  4,         (1')
n = 6b - 24.         (2')


It implies 4b + 4 = 6b - 24  ====>  24 + 4 = 6b - 2b   ====>  2b = 28  ====>  b= 14.


Then n = 4b + 4 = 4*14 + 4 = 60.


<U>Answer</U>.  60 people and 14 benches.


<U>Check</U>.   60/4 = 15 = 14+1  <====>  1 extra bench.

         60/6 = 10  <====>  4 benches are vacant.     ! Correct !
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Solved.



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