document.write( "Question 566545: Tickets for the father and son breakfast were 2 dollars for fathers and 1.50 dollars for sons. If a total of of 75 tickets were sold for 127.50 dollars, how many fathers and how many sons attended the breakfast?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #411441 by radium(1)![]() ![]() You can put this solution on YOUR website! This can be solved with 1 variable as well! \n" ); document.write( " \n" ); document.write( "The equation \n" ); document.write( "--------------- \n" ); document.write( "1.5x + 2.00(75 - x) = 127.5 \n" ); document.write( " \n" ); document.write( "We let x represent the number of sons tickets. We know that that the number of father tickets must be (75 - x). We know that the sons tickets are $1.50 each and the fathers tickets are $2.00 each. So we arrange our equation accordingly. \n" ); document.write( "1.5x + 2.00(75 - x) = 127.5. \n" ); document.write( " \n" ); document.write( "Using the distributive property we get: 1.5x + 150 - 2x = 127.5\r \n" ); document.write( "\n" ); document.write( "Combining like terms gives us: -.5x=-22.5\r \n" ); document.write( "\n" ); document.write( "Dividing both sides by -.5 gives us: x = 45\r \n" ); document.write( "\n" ); document.write( "45 of sons tickets were sold, to find the amount of fathers we simply subtract 45 from 75 which gives us 30, the amount of fathers tickets sold. \n" ); document.write( " |