document.write( "Question 1144216: A group of more than ten and fewer than thirty people all paid the same amount for
\n" );
document.write( "a ticket to a concert. If the total cost was 16,490$, how many people are there in
\n" );
document.write( "the group? \n" );
document.write( "
Algebra.Com's Answer #765250 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Since the group is more than 10 and fewer than 30, we try all the possibilities\r\n" ); document.write( "from 11 people through 29 people.\r\n" ); document.write( "\r\n" ); document.write( "We try 11. $16490÷11, we get $1499.09091 That's not a whole number of cents, so\r\n" ); document.write( "we try 12. $16490÷12, we get $1374.16667 That's not a whole number of cents, so\r\n" ); document.write( "we try 13. $16490÷13, we get $1268.46154 That's not a whole number of cents, so\r\n" ); document.write( "we try 14. $16490÷14, we get $1177.85714 That's not a whole number of cents, so\r\n" ); document.write( "we try 15. $16490÷15, we get $1099.33333 That's not a whole number of cents, so\r\n" ); document.write( "we try 16. $16490÷16, we get $1030.625 That's not a whole number of cents, so\r\n" ); document.write( "we try 17. $16490÷17, we get $970 \r\n" ); document.write( "\r\n" ); document.write( "That's a whole number of cents, so one possibility is 17 people paying $970 each. \r\n" ); document.write( "\r\n" ); document.write( "Let's see if there are any other possibilities. So,\r\n" ); document.write( "\r\n" ); document.write( "we try 18. $16490÷18, we get $916.111111 That's not a whole number of cents, so\r\n" ); document.write( "we try 19. $16490÷19, we get $867.894737 That's not a whole number of cents, so\r\n" ); document.write( "we try 20. $16490÷20, we get $824.50\r\n" ); document.write( "\r\n" ); document.write( "That's a whole number of cents, so another possibility is 20 people paying $824.50 each. \r\n" ); document.write( "\r\n" ); document.write( "Let's see if there are any other possibilities. So,\r\n" ); document.write( "\r\n" ); document.write( "we try 21. $16490÷21, we get $785.238095 That's not a whole number of cents, so\r\n" ); document.write( "we try 22. $16490÷22, we get $749.545455 That's not a whole number of cents, so\r\n" ); document.write( "we try 23. $16490÷23, we get $716.956522 That's not a whole number of cents, so\r\n" ); document.write( "we try 24. $16490÷24, we get $687.083333 That's not a whole number of cents, so\r\n" ); document.write( "we try 25. $16490÷25, we get $659.60 \r\n" ); document.write( "\r\n" ); document.write( "That's a whole number of cents, so another possibility is 25 people paying $659.60 each. \r\n" ); document.write( "\r\n" ); document.write( "Let's see if there are any other possibilities. So,\r\n" ); document.write( "\r\n" ); document.write( "we try 26. $16490÷26, we get $634.230769 That's not a whole number of cents, so\r\n" ); document.write( "we try 27. $16490÷27, we get $610.740741 That's not a whole number of cents, so\r\n" ); document.write( "we try 28. $16490÷28, we get $588.928571 That's not a whole number of cents, so\r\n" ); document.write( "we try 29. $16490÷29, we get $568.62069 That's not a whole number of cents, so\r\n" ); document.write( "\r\n" ); document.write( "That's all the possibilities. There are three answers:\r\n" ); document.write( "\r\n" ); document.write( "17 people paying $970 each.\r\n" ); document.write( "20 people paying $824.50 each.\r\n" ); document.write( "25 people paying $659.60 each.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |