document.write( "Question 1063455: During the month of may, county sheriffs department was issued 117 traffic tickets for speeding or failing to wear seat belts. The fine was $50 and the fine for failing to wear a seat belt was $35. If the sherif department collected $5340 in fines from these two citations, how many of each tickets were issued? \n" ); document.write( "

Algebra.Com's Answer #678568 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "During the month of may, county sheriffs department was issued 117 traffic tickets for speeding or failing to wear seat belts.
\n" ); document.write( "The fine was $50 and the fine for failing to wear a seat belt was $35. If the sherif department collected $5340 in fines from
\n" ); document.write( "these two citations, how many of each tickets were issued?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let \"x\" be the number of tickets for speeding.\r\n" );
document.write( "Then the number of \"failing to wear seat bells\" was (117-x).\r\n" );
document.write( "\r\n" );
document.write( "Your \"value\" equation is\r\n" );
document.write( "\r\n" );
document.write( "50x + 35*(117-x) = 5340.\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for x:\r\n" );
document.write( "\r\n" );
document.write( "50x + 35*117 - 35x = 5340,\r\n" );
document.write( "\r\n" );
document.write( "15x = 5340 - 4095  --->  15x = 1245  --->  x =  = 83.\r\n" );
document.write( "\r\n" );
document.write( "Answer. 83 tickets for speeding and 117-83 = 34 tickets for failing to wear seat bells.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );