Question 1186434
.
Derek’s shop sells shirts and pants. A pair of pants is sold at $48 and a shirt is sold
at 3/4 the price of a pair of pants. On Friday, Derek sold 2/3 of the clothing in his shop
and collected $3672. 2/5 of the clothing sold were pants.
(a) How many shirts did Derek sell on Friday?
(b) How many clothing were left unsold in the shop after Friday?
~~~~~~~~~~~~~~~~~~~~~


<pre>
A pair of pants costs $48, and each shirt costs $36.


From the condition, we can say and write that Derec sold 2x pants and 3x shirts, 
where an integer number x is the common factor.


With it, we can write the revenue equation as

    48*(2x) + 36*(3x) = 3672.


Simplify and solve

    96x     + 108x    = 3672

   204x               = 3672

      x               = 3672/204 = 18.


So, on Friday Derec sold 2x = 2*18 = 36 pants and 3x = 3*18 = 54 shirts.


The total clothing sold was 36+54 = 90 items.


These 90 item comprise 2/3 of the total clothing in his shop.


Nence, the number of unsold items in the shop was 90/2 = 45.


<U>ANSWER</U>.  (a)  On Friday, Derek sold 54 shirts.

         (b)  The number of unsold clothing was 45.
</pre>

Solved.