Question 1011557
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A number of teachers were to receive 6 pens each but needed 4 more pens for them to be equally divided. 
If each teacher received 9 pens, 25 more pens would be necessary.how many pens are there?
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Let p = # of pencils, and n = # of teachers.

The first part of the condition says that   p +  4 = 6n.   (1)
The second part says that                   p + 25 = 9n.   (2)

Distract the first equation from the second one. You will get

25 - 4 = 3n,   or   n = {{{21/3}}} = 7.

Then from (1) you will get p = 6n - 4 = 6*7 - 4 = 42 - 4 = 38.

<U>Answer</U>. 7 teachers and 38 pens.
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