Question 214674
A piece of land costs $41, 000 for 3 5/12 acres. What is the cost per acre?

<pre><font size = 4 color="indigo"><b>

The little word "per" always means "divided by", so

the words "cost per acre" means "cost divided by acres", so

{{{41000}}}{{{"÷"}}}{{{3&5/12}}}

We change the mixed fraction to an improper fraction,
and write the {{{41000}}} as the improper fraction {{{41000/1}}}

{{{41000/1}}}{{{"÷"}}}{{{41/12}}}

We change the problem to a multiplication problem by
inverting the second fraction and changing the division
symbol to a multiplication symbol:

{{{41000/1}}}{{{"x"}}}{{{12/41}}}  

Then we cancel the {{{41}}} into the {{{41000}}} and get {{{1000}}},
then we multiply tops and bottoms and get:

{{{1000}}}
{{{cross(41000)/1}}}{{{"x"}}}{{{12/(cross(41))[1]=12000/1=12000}}}

or $12,000 per acre.

Edwin</pre>