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 #839045 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The solutions from the other tutors are good formal algebraic solutions.

\n" ); document.write( "If a formal algebraic solution is not required, here is an informal solution, using the fact that the cost of an adult ticket is exactly twice the cost of a child ticket.

\n" ); document.write( "Divide the total receipts by the cost of a child ticket:

\n" ); document.write( "\"371.25%2F0.75=1485%2F3=495\"

\n" ); document.write( "The total receipts are enough to buy 495 child tickets.

\n" ); document.write( "But only 429 tickets were sold.

\n" ); document.write( "Since the cost of an adult ticket is twice the cost of a child ticket, the number of adults was 495-429 = 66.

\n" ); document.write( "ANSWER: 66 adults; 429-66 = 363 children

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