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THERE ARE 1,000 WORKERS IN A FACTORY . EACH WORKER WORKS 30 HOURS A WEEK AND IS PAID $5.50 AN HOUR . HOW MUCH DOES THE COMPANY HAVE TO PAY THE WORKERS ALTOGETHER EACH WEEK.

Respuesta :

1 worker = 30 hours a week
1 worker = 30 x $5.50 a week = $165

1 worker = $165
1000 workers = 165 x 1000 = $165 000

JonHenderson55
Answer:  " $ 165, 000 " .
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Explanation:
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One method is to use "dimensional analysis" — as follows:

{ Note:  The " ( [tex] \frac{30 hr}{worker}[/tex] }" ; as follows below —

             → refers to the "30 hours per worker" — in a  "1 week period " ;  
 
             →  {as specified in this very question/problem} ; and as follows:
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→  [tex]$ \frac{5.50}{hr} * \frac{30 hr}{worker} * \frac{1,000 workers}{1} [/tex] ;

 Note:  The following "units" get "canceled out to "1" ; and/or "eliminated" ;
   
        → The "hr" {"hours"} units get canceled out / eliminately completely; 

                →   {since:  "hr / hr" =  " 1 " .} .

        →  The "worker(s)" units get canceled out/ eliminated completely; 

                →   {since:  "worker(s) / worker(s)" = " 1 " .} . 
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     →  We are left with:  " $ ( 5.5 * 30 * 1000 ) "  ; 

     →   " $ ( 5.5 * 30 * 1000 ) "  ;
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     →   " $ ( 5.5 * 30 * 1000 ) "  ;

                        =     " $ 165, 000 "  .
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    The answer is:  " $ 165, 000 "  .
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