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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.

2 Answers

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Answer: " $ 165, 000 " .
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Step-by-step explanation:
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One method is to use "dimensional analysis" — as follows:

{ Note: The " (
(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:
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$ (5.50)/(hr) * (30 hr)/(worker) * (1,000 workers)/(1) ;

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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User RickK
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4 votes
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

User Mujahid Daud Khan
by
6.0k points