document.write( "Question 550918: Emma, Jackson, and Nicholas have been selling raffle tickets to raise money for the math club. Emma sold 5 less than twice as many tickets as Nicholas. Jackson sold 10 more than twice as many as Nicholas. Together the three sold 180 tickets. How many did each student sell? \n" ); document.write( "
Algebra.Com's Answer #359246 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Emma, Jackson, and Nicholas have been selling raffle tickets to raise money for the math club. \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( " Emma sold 5 less than twice as many tickets as Nicholas. \n" ); document.write( "e = 2n-5 \n" ); document.write( ": \n" ); document.write( " Jackson sold 10 more than twice as many as Nicholas. \n" ); document.write( "j = 2n + 10 \n" ); document.write( ": \n" ); document.write( "Together the three sold 180 tickets. \n" ); document.write( "e + j + n = 180 \n" ); document.write( "From the 1st two statements we can substitute for e and j \n" ); document.write( "(2n-5) + (2n+10) + n = 180 \n" ); document.write( "2n + 2n + n - 5 + 10 = 180 \n" ); document.write( "5n + 5 = 180 \n" ); document.write( "5n = 180-5 \n" ); document.write( "n = \n" ); document.write( "n = 35 tickets solve by Nicholas \n" ); document.write( ": \n" ); document.write( "I'll let you find e and j, see that all three add up to 180\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " How many did each student sell? \n" ); document.write( " |