document.write( "Question 1191077: Normally a factory produces 400 radios in x days. IF the factory were to produce 20 more radios each day, then it would take 10 days less to produce 400 radios. find x \n" ); document.write( "
Algebra.Com's Answer #822845 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The other tutor has provided a good detailed response showing a formal algebraic solution.

\n" ); document.write( "If a formal algebraic solution is not required, you can find it quickly with a bit of mental arithmetic.

\n" ); document.write( "The conditions of the problem require you to find two ways to expression 400 as the product of two numbers...

\n" ); document.write( "ab=400
\n" ); document.write( "cd=400

\n" ); document.write( "... in which the difference between a and c (the numbers of radios produced per day) is 20 and the difference between b and d (the number of days) is 10.

\n" ); document.write( "Quick trial and error should easily find

\n" ); document.write( "20*20=400
\n" ); document.write( "40*10=400

\n" ); document.write( "Those show that 400 radios can be produced 20 per day for 20 days, or 40 per day for 10 days. Those numbers satisfy the conditions of the problem: producing 20 more per day requires 10 fewer days.

\n" ); document.write( "ANSWER: 20

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