document.write( "Question 1203460: there are 429 people at a play. admission was $1.50 for adults and $0.75 for children the receipts totaled $371.25. How many adults and how many children attended the play? \n" ); document.write( "
Algebra.Com's Answer #839036 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "x = number of adults
\n" ); document.write( "429-x = number of children
\n" ); document.write( "1.50x = revenue from adults
\n" ); document.write( "0.75(429-x) = revenue from children
\n" ); document.write( "1.50x+0.75(429-x) = total revenue = 371.25\r
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\n" ); document.write( "\n" ); document.write( "1.50x + 0.75(429-x) = 371.25
\n" ); document.write( "1.50x + 321.75 - 0.75x = 371.25
\n" ); document.write( "0.75x + 321.75 = 371.25
\n" ); document.write( "0.75x = 371.25 - 321.75
\n" ); document.write( "0.75x = 49.5
\n" ); document.write( "x = 49.5/0.75
\n" ); document.write( "x = 66 adults
\n" ); document.write( "429 - x = 429 - 66 = 363 children\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "66 adults + 363 children = 429 people total
\n" ); document.write( "66*1.50 + 363*0.75 = 371.25 dollars total
\n" ); document.write( "Both conditions are confirmed.\r
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\n" ); document.write( "\n" ); document.write( "Answers:
\n" ); document.write( "66 adults and 363 children
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