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xxTIMURxx [149]
3 years ago
9

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 H

AVE TO PAY THE WORKERS ALTOGETHER EACH WEEK.
Mathematics
2 answers:
stepan [7]3 years ago
5 0
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

viktelen [127]3 years ago
4 0
Answer:  " $ 165, 000 " .
___________________________________________________
Explanation:
___________________________________________________
One method is to use "dimensional analysis" — as follows:

{ <u>Note</u>:  The " ( \frac{30 hr}{worker} }" ; 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:
__________________________________________________
  
→  $ \frac{5.50}{hr} * \frac{30 hr}{worker} * \frac{1,000 workers}{1} ;

 <u>Note:</u>  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 " .} . 
______________________________________________________
     →  We are left with:  " $ ( 5.5 * 30 * 1000 ) "  ; 

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

                        =     " $ 165, 000 "  .
___________________________________________________

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