Question 1036414
The battery dealer question.


PRICE is COST compared to QUANTITY of items.
Price is the ratio of cost of the items to quantity of the items.
<pre>
cost      q      q
quantity  x     100
price     p      p</pre>
{{{highlight_green(p=q/x)}}}


The first sentence for the description will give you  {{{p=q/100}}}.


Second sentence describes a price change for this dealer to sell his batteries.  Fifty percent above the originial price is  same as  {{{(3/2)p}}}.


Question asks, what is this in terms of q.  Substitute for p according to the previous equation.


{{{(3/2)p}}}
{{{(3/2)(q/100)}}}
{{{(3*q)/(2*100)}}}
{{{highlight((3q)/200)}}}---------this is the price which the dealer will use for each battery.


Analyze the description each phrase, identify relevant basic facts and relationships or concepts, write expressions and equations.  



--
m, x, and y:


What does the description tell you, literally?
Put it in symbols.  Do it!  This one is not any mystery, requiring much less effort than the battery dealer problem.